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'Hilbert space'
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| Title of object: |
Hilbert space |
| Canonical Name: |
HilbertSpace |
| Type: |
Definition |
| Created on: |
2002-02-13 12:21:19 |
| Modified on: |
2002-08-01 11:13:22 |
| Classification: |
msc:46C05 |
Preamble:
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Content:
A \emph{Hilbert space} is an inner product space $(X,\langle,\rangle)$ which is \PMlinkid{complete}{603} under the induced norm.
Some authors require $X$ to be infinite dimensional for it to be called a Hilbert space. |
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