characterization of basis of finite dimensional vector space
Let X be a linear space and let ϕi be the linear functional
, ϕi:X→ℝ,1≤i≤n, such as
[ϕi(υ)=0,∀i=1,2,…,n]→[ϕ(υ)=0].
Then there exist λ1,λ2,…,λn∈ℝ such as ϕ=∑ni=1λiϕi.
Title | characterization of basis of finite dimensional vector space |
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Canonical name | CharacterizationOfBasisOfFiniteDimensionalVectorSpace |
Date of creation | 2013-03-22 15:24:28 |
Last modified on | 2013-03-22 15:24:28 |
Owner | georgiosl (7242) |
Last modified by | georgiosl (7242) |
Numerical id | 9 |
Author | georgiosl (7242) |
Entry type | Corollary |
Classification | msc 03E20 |