Linear and multilinear algebra; matrix theory Linear maps Concept
Kernel of a linear map
Summary
The kernel of a linear map is the set of vectors that the map sends to zero. It is a subspace of the domain.
Where this leads
24 pages build on this one.
- Point spectrum
- Hilbert–Schmidt expansion theorem
- Lyusternik's theorem on tangent spaces
- Bilinear series of a symmetric kernel
- Isoperimetric problem of the calculus of variations
- Catenary problem
- Spectral theorem for compact self-adjoint operators
- Courant–Fischer characterization of characteristic values
- Fredholm index
- Euler's elastica
- Lyapunov–Schmidt reduction
- Deficiency indices
- Lidskii's trace formula for integral operators
- Dido's problem
- Fredholm map
- Spectrum of the Laplace–Beltrami operator
- Spectral theory of compact operators
- Mercer's theorem
- Fredholm operator
- Lagrange multipliers on Banach spaces
- Singular values of a compact operator
- Schmidt's singular value decomposition of a kernel
- Fredholm's theorem
- Essentially self-adjoint operator
Further reading
About this page
| Tag | 0S23E6YE83 |
|---|---|
| URI | m2://0S23E6YE83 |
| Aliases | null-space-of-a-map |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A04 |
| Specializes | Linear subspace |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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