Linear and multilinear algebra; matrix theory Linear maps Concept
Image of a linear map
Summary
The image of a linear map is the set of all values of the map. It is a subspace of the codomain.
Where this leads
17 pages build on this one.
- Hilbert–Schmidt expansion theorem
- Bilinear series of a symmetric kernel
- Spectral theorem for compact self-adjoint operators
- Courant–Fischer characterization of characteristic values
- Fredholm index
- Deficiency indices
- Lidskii's trace formula for integral operators
- Finite-rank operator
- Fredholm map
- Spectrum of the Laplace–Beltrami operator
- Spectral theory of compact operators
- Mercer's theorem
- Fredholm operator
- Singular values of a compact operator
- Schmidt's singular value decomposition of a kernel
- Fredholm's theorem
- Continuous and residual spectrum
Further reading
- Web https://en.wikipedia.org/wiki/Image_(mathematics), lead section
About this page
| Tag | 0WSFKKT6FF |
|---|---|
| URI | m2://0WSFKKT6FF |
| Aliases | range-of-a-linear-map |
| Kind | concept |
| Writing | W0 stub |
| MSC | 15A04 |
| Specializes | Linear subspace |
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