Linear and multilinear algebra; matrix theory Concept
Linear form
Summary
A linear form on a vector space is a linear map from the space to its field of scalars.
Where this leads
21 pages build on this one.
- Céa's lemma
- Invariant mean
- Lax–Milgram theorem
- Schmidt subspace theorem
- Minimum total potential energy principle
- Banach limit
- Exposed point
- Moments and orthogonal polynomials
- Hilbert space adjoint
- Riesz–Markov–Kakutani representation theorem
- Continuous dual space
- M. Riesz extension theorem
- Existence and uniqueness of Haar measure
- Dual operator
- Galerkin method
- Lorentz's characterization of almost convergence
- Modular function
- Hahn–Banach theorem
- Ladyzhenskaya–Babuška–Brezzi condition
- Riesz representation theorem
- Information-based complexity
Further reading
- Web https://en.wikipedia.org/wiki/Linear_form, lead section
About this page
| Tag | 07YQ1C78G0 |
|---|---|
| URI | m2://07YQ1C78G0 |
| Aliases | linear-functional, covector |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A04 |
| Specializes | Linear map |
| 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)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Used by
- Invariant mean
- Schmidt subspace theorem
- Exposed point
- Moments and orthogonal polynomials
- Riesz–Markov–Kakutani representation theorem
- Continuous dual space
- M. Riesz extension theorem
- Hahn–Banach theorem
- Riesz representation theorem
- Information-based complexity