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Hilbert spaces

Abbreviation: Hilb

Definition

A \emph{Hilbert space} is a vector spaces H with inner product ,, which is complete in the corresponding metric.

Remark:

Morphisms

Let H1 and H2 be two Hilbert spaces. A morphism from H1 to H2 is a bounded operator T:H1H2.

Examples

Example 1:

Basic results

Feel free to add or delete properties from this list. The present list may contain properties that are not relevant to the class that is being described.

Properties

Subclasses

Superclasses

[[Banach spaces]] 

References


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