Linear and multilinear algebra; matrix theory Concept
Inner product
Summary
An inner product on a real or complex vector space is a function of two vectors. It is linear in the first vector, conjugate symmetric, and positive on nonzero vectors.
Where this leads
16 pages build on this one.
- Classical orthogonal polynomials
- Riemannian metric
- Hermitian metric on a vector bundle
- Hodge star operator
- Thom space
- Kaczmarz method
- Weak operator topology
- Christoffel–Darboux formula
- Zonal spherical harmonics
- Sub-Riemannian manifold
- Complete reducibility of representations of compact groups
- Petersson inner product
- Grothendieck inequality
- Frame operator
- Tight frame
- Three-term recurrence for orthogonal polynomials
Further reading
About this page
| Tag | 0NB0AWGJBW |
|---|---|
| URI | m2://0NB0AWGJBW |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A63, 46C05 |
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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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What links here
Special cases
Definitions
Used by
- Classical orthogonal polynomials
- Riemannian metric
- Hermitian metric on a vector bundle
- Hodge star operator
- Thom space
- Kaczmarz method
- Weak operator topology
- Christoffel–Darboux formula
- Zonal spherical harmonics
- Sub-Riemannian manifold
- Complete reducibility of representations of compact groups
- Petersson inner product
- Grothendieck inequality
- Frame operator
- Tight frame
- Three-term recurrence for orthogonal polynomials