Riesz representation theorem

For every continuous linear functionalMathworldPlanetmath f on a Hilbert spaceMathworldPlanetmath , there is a unique u such that f(x)=x,u for all x.
Note: x,u denotes the inner productMathworldPlanetmath between x and u.

Title Riesz representation theoremMathworldPlanetmath
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