Riesz representation theorem (original) (raw)
For every continuous linear functional
f on a Hilbert space
ℋ, there is a unique u∈ℋ such that f(x)=⟨x,u⟩ for all x∈ℋ.
Note: ⟨x,u⟩ denotes the inner product between x and u.
| Title | Riesz representation theorem |
|---|---|
| Canonical name | RieszRepresentationTheorem |
| Date of creation | 2013-03-22 14:09:43 |
| Last modified on | 2013-03-22 14:09:43 |
| Owner | azdbacks4234 (14155) |
| Last modified by | azdbacks4234 (14155) |
| Numerical id | 9 |
| Author | azdbacks4234 (14155) |
| Entry type | Theorem |
| Classification | msc 46C99 |
| Related topic | RieszFischerTheorem |