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References to 'vector space'
1. $AB$ and $BA$ are almost isospectral by asteroid
2. $G$-module by rspuzio
3. $L^p$-space by Mathprof
4. $\ell^p$ by rspuzio
5. $\operatorname{ker} L=\{0\}$ if and only if $L$ is injective by Mathprof
6. $\operatorname{p.\!v.}(\frac{1}{x})$ is a distribution of first order by Koro
7. $\Psi$ is surjective if and only if $\Psi^\ast$ is injective by matte
8. (special) unitary Lie algebra by pan
9. a finite extension of fields is an algebraic extension by alozano
10. absorbing element by pahio
11. absorbing set by CWoo
12. additive function by paolini
13. adjoint endomorphism by rmilson
14. adjoint representation by rmilson
15. admissibility by gumau
16. affine combination by CWoo
17. affine connection by rspuzio
18. affine geometry by CWoo
19. affine transformation by matte
20. algebra (module) by mathcam
21. algebraic categories without free objects by Algeboy
22. algebraic lattice by CWoo
23. all bases for a vector space have the same cardinality by CWoo
24. all norms are not equivalent by matte
25. all norms on finite-dimensional vector spaces are equivalent by jirka
26. all orthonormal bases have the same cardinality by asteroid
27. almost complex structure by rspuzio
28. almost periodic function (classical definition) by drini
29. alternating form by CWoo
30. annihilator of vector subspace by stevecheng
31. another proof of rank-nullity theorem by CWoo
32. anti-cone by stevecheng
33. antisymmetric by rmilson
34. associated bundle construction by rspuzio
35. axiom by rmilson
36. axiom of choice by GrafZahl
37. B-spline by CWoo
38. balanced set by matte
39. ball by CWoo
40. Banach spaces of infinite dimension do not have a countable Hamel basis by yark
41. barrel by CWoo
42. basic properties of seminorms by matte
43. basic tensor by rmilson
44. basis by mathcam
45. basis-free definition of determinant by mps
46. bialgebra by mhale
47. bifurcation problem with symmetry group by Daume
48. bilinear form by rmilson
49. bilinear map by yark
50. Borel subgroup by CWoo
51. bounded function by Koro
52. bounded set (in a topological vector space) by mathcam
53. canonical basis for symmetric bilinear forms by Mathprof
54. Cartan calculus by bci1
55. Cartesian product of vector spaces by Mathprof
56. category theory by archibal
57. Cauchy-Schwarz inequality by drini
58. Cayley's parameterization of orthogonal matrices by rspuzio
59. Cayley-Hamilton theorem by akrowne
60. central collineations by Algeboy
61. central simple algebra by djao
62. change of basis by CWoo
63. character by djao
64. characteristic polynomial by CWoo
65. characterization of basis of finite dimensional vector space by georgiosl
66. class function by djao
67. classical groups by Algeboy
68. classification of Hilbert spaces by asteroid
69. Clifford algebra by rmilson
70. closure of a vector subspace in a normed space is a vector subspace by gumau
71. closure of a vector subspace is a vector subspace by loner
72. coalgebra by mhale
73. coboundary definition of exterior derivative by rmilson
74. cohomology of compact connected Lie groups by asteroid
75. colorings of plane graphs by marijke
76. commutator bracket by rmilson
77. commuting matrices by Algeboy
78. comodule by mhale
79. compact element by CWoo
80. compact quantum groupoids related to C*-algebras by bci1
81. complementary subspace by rmilson
82. complete category by CWoo
83. completeness under ucp convergence by gel
84. complex analytic manifold by jirka
85. complexification of vector space by stevecheng
86. composition algebra by Algeboy
87. computation of the order of $\operatorname{GL}(n, \mathbb{F}_q)$ by yark
88. concepts in linear algebra by matte
89. concepts in set theory by matte
90. conductor of a vector by CWoo
91. cone by matte
92. connection by rspuzio
93. consequence operator by rspuzio
94. construction of polar coordinates by CWoo
95. continuity of convex functions by pbruin
96. continuous geometry by CWoo
97. convex combination by mps
98. convex function by matte
99. convex set by drini
100. coordinate vector by pahio
101. countable basis by djao
102. covector by bwebste
103. Coxeter group by Simone
104. CR submanifold by jirka
105. criterion for a near-linear space being a linear space by kshum
106. cubic spline interpolation by yota
107. current by paolini
108. cusp form by olivierfouquetx
109. cyclic decomposition theorem by CWoo
110. cyclic subspace by CWoo
111. De Bruijn--Erd\H{o}s theorem by marijke
112. decomposition of a module using orthogonal idempotents by alozano
113. decomposition of orthogonal operators as rotations and reflections by stevecheng
114. Dedekind-finite by CWoo
115. dense ring of linear transformations by CWoo
116. dependence relation by CWoo
117. derivative operator is unbounded in the sup norm by cvalente
118. diagonalization by rmilson
119. difference by pahio
120. difference of vectors by pahio
121. differential form by rmilson
122. differential geometry by rspuzio
123. dimension by bbukh
124. dimension (vector space) by rmilson
125. dimension formulae for vector spaces by yark
126. dimension of the special orthogonal group by stevecheng
127. dimension theorem for symplectic complement (proof) by matte
128. Dini derivative by lha
129. direct integral of Hilbert spaces by rspuzio
130. direct sum of even/odd functions (example) by mathcam
131. direct sum of Hermitian and skew-Hermitian matrices by mathcam
132. direct sum of matrices by CWoo
133. double dual embedding by rmilson
134. dual code by GrafZahl
135. dual homomorphism by rmilson
136. dual homomorphism of the derivative by rmilson
137. dual space by Daume
138. duality with respect to a non-degenerate bilinear form by alozano
139. Dunkl-Williams inequality by Mathprof
140. eigenspace by CWoo
141. eigenvalue by drini
142. eigenvalue by Koro
143. eigenvalue problem by archibal
144. Einstein summation convention by PrimeFan
145. elementary abelian group by yark
146. elementary proof of orders by Algeboy
147. endpoint by Wkbj79
148. Engel's theorem by rmilson
149. equation by pahio
150. equivalent definition of a representable functor by CWoo
151. equivalent norms by matte
152. equivalently oriented bases by bwebste
153. Euclidean distance by drini
154. Euclidean vector space by rmilson
155. even and odd functions by yark
156. every finite dimensional subspace of a normed space is closed by Mathprof
157. every orthonormal set is linearly independent by mathcam
158. every subspace of a normed space of finite dimension is closed by Mathprof
159. every symplectic manifold has even dimension by cvalente
160. every vector space has a basis by GrafZahl
161. example of a right noetherian ring that is not left noetherian by smw
162. example of algebras and coalgebras which cannot be turned into Hopf algebras by joking
163. example of de Rham cohomology by pbruin
164. example of free module with bases of diffrent cardinality by joking
165. example of induced representation by rspuzio
166. example of linear involution by mathcam
167. example of pseudometric space by mathcam
168. example of under-determined polynomial interpolation by rmilson
169. examples of bounded and unbounded operators by matte
170. examples of groups by AxelBoldt
171. existence of the conditional expectation by gel
172. extended norm by rspuzio
173. extension field by drini
174. exterior algebra by rmilson
175. extreme point by jirka
176. face of a convex set, alternative definition of by mps
177. filtered algebra by Dr_Absentius
178. finite field by yark
179. finite nilpotent groups by Algeboy
180. finitely generated module by Thomas Heye
181. fixed-point subspace by mathcam
182. flag by rmilson
183. flag variety by bwebste
184. frame by rmilson
185. Fredholm index by mhale
186. Fredholm operator by mhale
187. free vector space over a set by mathcam
188. Frobenius product by pahio
189. Fr\'echet space by rmilson
190. function space by matte
191. functional by mathcam
192. functional analysis by PrimeFan
193. functional monotone class theorem by gel
194. fundamental theorem of projective geometry by Algeboy
195. gauge group by sjm1979
196. generalized eigenspace by CWoo
197. generalized eigenvector by CWoo
198. generalized Farkas lemma by stevecheng
199. genus by mathcam
200. geometric algebra by PhysBrain
201. geometric lattice by CWoo
202. geometrization of $\mathbb{R}^n$ by rspuzio
203. geometry as the study of invariants under certain transformations by rspuzio
204. Gram matrix by lalberti
205. Grassmann-Hopf algebras and coalgebras\gebras by bci1
206. ground fields and rings by Algeboy
207. group object by rspuzio
208. group representation by djao
209. groupoid and group representations related to quantum symmetries by bci1
210. Hahn-Banach theorem by rmilson
211. Hamiltonian algebroids by bci1
212. Hasse-Minkowski theorem by SirJective
213. heap by CWoo
214. Hermitian dot product (finite fields) by GrafZahl
215. Hermitian form by djao
216. Hermitian form over a division ring by CWoo
217. Hermitian matrix by matte
218. Hodge star operator by rspuzio
219. homogeneous elements of a graded ring by mathcam
220. homogeneous function by matte
221. homotopes and isotopes of algebras by Algeboy
222. Huffman's algorithm by mps
223. hyperbolic pairs and basis by Algeboy
224. hyperbolic plane in quadratic spaces by CWoo
225. hyperbolic rotation by CWoo
226. hyperplane by georgiosl
227. hyperplane arrangement by mps
228. hyperplane separation by stevecheng
229. I-AB is invertible if and only if I-BA is invertible by asteroid
230. IBN by CWoo
231. idempotency by yark
232. if $A$ is convex and $f$ linear then $f(A)$ and $f^{-1}(A)$ are convex by matte
233. imaginary by PrimeFan
234. in a vector space, $\lambda v = 0$ if and only if $\lambda =0$ or $v$ is the zero vector by aoh45
235. index of a Lie algebra by benjaminfjones
236. induced representation by djao
237. induction by Daume
238. inner product by djao
239. inner product space by CWoo
240. internal point by jirka
241. intersection semilattice of a subspace arrangement by CWoo
242. intersection structure by CWoo
243. invariant polynomial by Daume
244. invariant scalar product by benjaminfjones
245. invariant subspace by rmilson
246. inverse function by matte
247. involutory ring by CWoo
248. irreducible representations of the special linear group over $\mathbb{F}_p$ by alozano
249. isomorphism by djao
250. isotropic quadratic space by CWoo
251. Jacobi identity interpretations by rspuzio
252. Jordan canonical form theorem by Mathprof
253. Jordan-Banach and Jordan-Lie algebras by bci1
254. Kac-Moody algebra by bwebste
255. kernel of a linear mapping by yark
256. Klein 4-group by Algeboy
257. Lagrange multipliers on manifolds by stevecheng
258. lattice of projections by asteroid
259. lattice of subgroups by CWoo
260. lecture notes on polynomial interpolation by rmilson
261. lecture notes on the Cayley-Hamilton theorem by rmilson
262. Leibniz notation for vector fields by stevecheng
263. lemma on projection of countable sets by rspuzio
264. Levi pseudoconvex by jirka
265. Lie algebra by djao
266. Lie algebra cohomology by rmilson
267. Lie algebra representation by mathcam
268. Lie algebras from other algebras by Algeboy
269. Lie group by rmilson
270. Lie superalgebra by bci1
271. line segment by matte
272. linear algebra by rmilson
273. linear code by mathcam
274. linear combination by yark
275. linear complex structure by Mazzu
276. linear functional by yark
277. linear involution by matte
278. linear isomorphism by matte
279. linear manifold by matte
280. linear space and near-linear space by kshum
281. linear transformation by CWoo
282. linear transformation is continuous if its domain is finite dimensional by matte
283. linearly independent by rmilson
284. Lipschitz condition by paolini
285. list vector by rmilson
286. locally convex topological vector space by mathcam
287. locally ringed space by djao
288. loop algebra by rspuzio
289. matrix by bbukh
290. matrix representation by drini
291. matrix representation of a linear transformation by CWoo
292. matroid by mps
293. metric space by djao
294. minimal polynomial (endomorphism) by mathcam
295. Minkowski space by cvalente
296. Minkowski sum by matte
297. modular form by olivierfouquetx
298. modular space by gilbert_51126
299. modules are a generalization of vector spaces by jgade
300. monoid bialgebra by joking
301. monoidal category by juanman
302. monomial by bbukh
303. Morse complex by bwebste
304. multi-linear by rmilson
305. multiplicity of eigenvalue by matte
306. mutual positions of vectors by pahio
307. near operators by mathcam
308. necessary and sufficient condition for diagonalizability by Mathprof
309. new vector spaces from old ones by matte
310. non-degenerate bilinear form by djao
311. non-degenerate quadratic form by CWoo
312. non-zero vector by matte
313. norm by djao
314. normed vector space by rspuzio
315. octonion by CWoo
316. operation by rspuzio
317. operator norm by asteroid
318. operator topologies by asteroid
319. ordered vector space by CWoo
320. origin by jirka
321. orthocomplemented lattice by CWoo
322. orthogonal direct sum by CWoo
323. orthogonal group by djao
324. orthogonality relations by mhale
325. orthonormal set by yark
326. outer multiplication by rmilson
327. period of mapping by bwebste
328. permutation operator by Mathprof
329. permutation representation by drini
330. perspectivity by CWoo
331. point by Wkbj79
332. polarity by Algeboy
333. positive definite form by djao
334. potential theory by rspuzio
335. primary decomposition theorem by gumau
336. prime spectrum by CWoo
337. primitive by Wkbj79
338. projection by rmilson
339. projective geometry by Algeboy
340. projective line by bwebste
341. projective plane by yark
342. projective special linear group by alozano
343. projectivity by CWoo
344. proof of basis of ideal in algebraic number field by lalberti
345. proof of estimating theorem of contour integral by cvalente
346. proof of finitely generated torsion-free modules over Pr\"ufer domains by gel
347. proof of functional monotone class theorem by gel
348. proof of Hahn-Banach theorem by paolini
349. proof of Heine-Borel theorem by stevecheng
350. proof of Minkowski's bound by gel
351. proof of Schauder fixed point theorem by asteroid
352. proof of the Burnside basis theorem by Algeboy
353. proof of the dimension theorem for subspaces by yark
354. proof of Wedderburn's theorem by lieven
355. properties of $O$ and $o$ by paolini
356. properties of an affine transformation by CWoo
357. properties of bases by CWoo
358. properties of linear independence by CWoo
359. properties of orthogonal polynomials by pahio
360. properties of spanning sets by CWoo
361. properties of tensor product by polarbear
362. proportions of invertible matrices by Algeboy
363. pseudo-Riemannian manifold by cvalente
364. pullback of a $k$-form by bwebste
365. quadratic extension by CWoo
366. quadratic Lie algebra by benjaminfjones
367. quadratic sieve by patrickwonders
368. quadratic space by CWoo
369. quantum operator algebras in quantum field theories by bci1
370. quaternion algebra by djao
371. quotient module by rspuzio
372. quotient representations by rm50
373. rank-nullity theorem by yark
374. Rayleigh quotient by alozano
375. real and complex embeddings by alozano
376. regular local ring by mps
377. regular representation by djao
378. related rates by rmilson
379. representations of compact groups are equivalent to unitary representations by asteroid
380. Riemann curvature tensor by juanman
381. rigid by matte
382. root of unity by alozano
383. Sard's theorem by mathcam
384. scalar by mathcam
385. scaling of the open ball in a normed vector space by matte
386. Schauder fixed point theorem by paolini
387. Schur polynomial by mps
388. section of a fiber bundle by antonio
389. Segre map by halu
390. self-dual by rmilson
391. semi-inner product by asteroid
392. semilinear transformation by Algeboy
393. seminorm by rmilson
394. series by mathwizard
395. sesquilinear forms over general fields by Algeboy
396. set difference by yark
397. sheaf by djao
398. sheaf of sections by guffin
399. signature by CWoo
400. simple root by mathcam
401. simple tensor by lars_h
402. simplicial complex by djao
403. skew-Hermitian matrix by matte
404. skew-symmetric bilinear form by sleske
405. skew-symmetric matrix by Daume
406. smooth functions with compact support by matte
407. solid set by CWoo
408. some facts about injective and surjective linear maps by joking
409. some structures on $\mathbb{R}^n$ by drini
410. space of functions associated to a divisor by mathcam
411. space of rapidly decreasing functions by matte
412. span by mathwizard
413. spanning sets of dual space by stevecheng
414. special linear group by djao
415. spectral radius by Koro
416. spectrum of $A-\mu I$ by PrimeFan
417. spinor by PrimeFan
418. squeezing $\mathbb{R}^n$ by pahio
419. standard basis by Mathprof
420. star-shaped region by matte
421. stationary point by matte
422. Steiner system by mathcam
423. Stirling numbers of the second kind by rmilson
424. strain transformation by CWoo
425. subadditive by matte
426. superalgebra by mhale
427. supercommutative by rmilson
428. supernumber by mhale
429. Sylvester's law by rspuzio
430. symmetric algebra by CWoo
431. symmetric bilinear form by djao
432. symmetric set by Koro
433. symmetric tensor by Mathprof
434. symmetrizer by Mathprof
435. symplectic vector space by matte
436. tangent space by rmilson
437. tensor by rmilson
438. tensor array by rmilson
439. tensor density by rspuzio
440. tensor product by rmilson
441. tensor product (vector spaces) by rmilson
442. tensor product and dual spaces by joking
443. tensor product basis by lars_h
444. tensor product of dual spaces is a dual space of tensor product by joking
445. tensor product of subspaces of vector spaces by joking
446. tensor transformations by rmilson
447. theorem about cyclic subspaces by Mathprof
448. theorem for the direct sum of finite dimensional vector spaces by matte
449. theory from orders of classical groups by Algeboy
450. there exist additive functions which are not linear by paolini
451. topics on vectors by perucho
452. topological proof of the Cayley-Hamilton theorem by rmilson
453. topological vector space by yark
454. trace by mhale
455. trace by djao
456. transpose by mathcam
457. transpose operator by asteroid
458. uniform dimension by mclase
459. unimodular matrix by CWoo
460. unit vector by rmilson
461. unitary by asteroid
462. universal enveloping algebra by draisma
463. universal mapping property by MichaelMcCliment
464. vector by rmilson
465. vector bundle by rspuzio
466. vector field by mathcam
467. vector measure by asteroid
468. vector norm by mike
469. vector product in general vector spaces by mathwizard
470. vector projection by pahio
471. vector space over an infinite field is not a finite union of proper subspaces by loner
472. vector spaces are isomorphic iff their bases are equipollent by CWoo
473. vector subspace by yark
474. vectorization of matrix by pahio
475. Verma module by owenjonesuk
476. way below by CWoo
477. weak Hopf algebra by bci1
478. weight (Lie algebras) by GrafZahl
479. zero map by matte
480. zero vector in a vector space is unique by matte
481. zero vector space by drini
482. Zorn's lemma and bases for vector spaces by CWoo