Category:Linear Algebra Theorems
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Pages in category "Linear Algebra Theorems"
The following 19 pages are in this category, out of 19 total.
A
A linear map is injective if and only if its kernel is trivial
A linear map is injective if and only if the image of every non-zero vector is a non-zero vector
A linear map is injective if and only if the kernel contains only the zero vector
A proper vector subspace of a topological vector space has no interior
B
Basis for the tensor product
C
Characteristic property of the tensor product
Characteristic property of the tensor product/Statement
E
Equivalent conditions for a linear map between two normed spaces to be continuous everywhere
Equivalent conditions for a linear map between two normed spaces to be continuous everywhere/1 implies 2
Equivalent conditions for a linear map between two normed spaces to be continuous everywhere/2 implies 3
Equivalent conditions for a linear map between two normed spaces to be continuous everywhere/3 implies 4
Equivalent conditions for a linear map between two normed spaces to be continuous everywhere/4 implies 1
Euclidean norm
F
For a vector subspace of a topological vector space if there exists a non-empty open set contained in the subspace then the spaces are equal
P
Pullback norm
R
R^n is a topological vector space
T
The closure of a linear subspace of a normed space is a linear subspace
The dual space to the dual space of a vector space is canonically isomorphic to the vector space
The vector space of all linear maps between two spaces
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Theorems
Linear Algebra
Linear Algebra Theorems, lemmas and corollaries
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