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Results tagged with hilbert-spaces
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user 12482
A Hilbert space $H$ is a real or complex vector space endowed with an inner product such that $H$ is a complete metric space when endowed with the norm induced by this inner product.
8
votes
Accepted
Stinespring's dilation without $C^{\ast}$-algebras
The surprising fact is that the GNSStinespringKasparov theory is in fact completely algebraic, at least to a very large extend: the following results have been obtained by a PhD of mine but are, unfor …
- 8,098
5
votes
The role of completeness in Hilbert Spaces
Many points have been mentioned, but scanning through old questions I found this here: nobody mentioned that one can classify Hilbert spaces so easily via the size of the Hilbert basis. If you would o …
- 8,098