Linear and multilinear algebra; matrix theory Linear maps Concept
Linear map
Summary
A linear map is a map between vector spaces over the same field that preserves addition and scalar multiplication.
Where this leads
31 pages build on this one.
- Positive linear operator
- Holomorphic function of several variables
- Regularity structures
- Flat module
- Aoki–Rassias theorem
- Tensor-hom adjunction
- Kaplansky's theorem on projective modules
- Exact sequence
- Projective module
- Bass's theorem P
- Exact couple
- Closed graph theorem
- Comodule
- Unbounded operator
- Baer's criterion
- Closed operator
- Coalgebra
- Antipode
- Operator theory
- Pincherle derivative
- Cylinder set measure
- Injective module
- Representation of a quiver
- Group representation
- Tensor product of modules
- Bockstein homomorphism
- Hyers' theorem
- Slice theorem
- Composition operator
- Azumaya algebra
- Hellinger–Toeplitz theorem
Further reading
- Web https://en.wikipedia.org/wiki/Linear_map, Definition and first consequences
About this page
| Tag | 0NRYHJPQG2 |
|---|---|
| URI | m2://0NRYHJPQG2 |
| Aliases | linear-transformation |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A04 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (1 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
- Linear isometry
- Linear form
- Dual map
- Linear isomorphism
- Endomorphism
- Quotient map
- Adjoint of a linear map
- Integral operator
Definitions
Instances
Used by
- Positive linear operator
- Holomorphic function of several variables
- Regularity structures
- Flat module
- Aoki–Rassias theorem
- Tensor-hom adjunction
- Exact sequence
- Projective module
- Closed graph theorem
- Comodule
- Unbounded operator
- Baer's criterion
- Coalgebra
- Antipode
- Operator theory
- Pincherle derivative
- Cylinder set measure
- Injective module
- Representation of a quiver
- Group representation
- Tensor product of modules
- Hyers' theorem
- Composition operator
- Hellinger–Toeplitz theorem