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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:H1→H2.
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
External links
[http://mathworld.wolfram.com/HilbertSpace.html MathWorld Hilbert Spaces]
[http://www.wikipedia.org/wiki/Hilbert_space Wikipedia Hilbert Spaces]