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'Characterization of a Hilbert space'
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| Title of object: |
Characterization of a Hilbert space |
| Canonical Name: |
CharacterizationOfAHilbertSpace |
| Type: |
Theorem |
| Created on: |
2006-06-27 15:32:30 |
| Modified on: |
2006-06-27 15:32:30 |
| Classification: |
msc:46C15 |
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Content:
(Lindenstrauss and Tzafriri)
Let $V$ be a Banach space, such that for each closed subspace $M$ there exists a closed subspace $N$ such that $M\cap N=0$ and $M+N=V$. Then $V$ is isomorphic to a Hilbert space. |
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