There are several well-known theorems in functional analysis known as the **Riesz representation theorem**. They are named in honour of Frigyes Riesz.

Read more about Riesz Representation Theorem: The Hilbert Space Representation Theorem, The Representation Theorem For Linear Functionals On *C _{c}*(

*X*), The Representation Theorem For The Dual of

*C*

_{0}(

*X*)

### Other articles related to "riesz representation theorem, theorem, riesz":

**Riesz Representation Theorem**- The Representation Theorem For The Dual of

*C*

_{0}(

*X*)

... The following

**theorem**, also referred to as the

**Riesz**-Markov

**theorem**, gives a concrete realisation of the dual space of C0(X), the set of continuous functions on X which vanish at infinity ... The Borel sets in the statement of the

**theorem**also refers to the σ-algebra generated by the open sets ...

**Theorem**...

Hilbert Space - Properties - Duality

... The

... The

**Riesz representation theorem**affords a convenient description of the dual ... The**Riesz representation theorem**states that this mapping is an antilinear isomorphism ... The**Riesz representation theorem**relies fundamentally not just on the presence of an inner product, but also on the completeness of the space ...### Famous quotes containing the word theorem:

“To insure the adoration of a *theorem* for any length of time, faith is not enough, a police force is needed as well.”

—Albert Camus (1913–1960)

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