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Cross-references: unitary operators, separable, belong, von Neumann algebra, vector measure, vector, characteristic functions, linear combinations, measure, subset, compact subset, spectrum, isomorphism, continuous functional calculus, commutative, identity operator, *-algebra, closed, eigenvectors, matrix, onto, orthogonal projection, eigenvalue, orthogonal, direct sum, transformations, generated by, subspace, eigenvector, linear transformation, dimensions, finite, invariant, term, proof, orthogonal complement, invariant subspace, continuous function, linear algebra, finite-dimensional, classes, identity, spectral measure, multiplication operator, unitarily equivalent, self-adjoint, normal, projections, integral, sum, self-adjoint operators, normal operators, diagonalization, diagonalizable, Hilbert spaces, operators, functional analysis
There are 7 references to this entry.
This is version 9 of spectral theorem, born on 2008-05-22, modified 2008-11-25.
Object id is 10609, canonical name is SpectralTheorem.
Accessed 2086 times total.
Classification:
| AMS MSC: | 15A18 (Linear and multilinear algebra; matrix theory :: Eigenvalues, singular values, and eigenvectors) | | | 46C99 (Functional analysis :: Inner product spaces and their generalizations, Hilbert spaces :: Miscellaneous) | | | 47A10 (Operator theory :: General theory of linear operators :: Spectrum, resolvent) | | | 47A15 (Operator theory :: General theory of linear operators :: Invariant subspaces) | | | 47B15 (Operator theory :: Special classes of linear operators :: Hermitian and normal operators ) |
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Pending Errata and Addenda
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