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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.
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1
answer
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Is $\textbf{FHILB}$ locally regular?
Is the category, $\textbf{FHILB}$, of finite dimensional Hilbert spaces and linear maps locally regular, where `locally regular' is defined like this
http://ncatlab.org/nlab/show/locally+regular+cat …
2
votes
1
answer
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Cardinality of the set of Boolean subalgebras of the lattice of projections on a Hilbert space
I have a simple question I've managed to get myself quite confused about.
Given a Hilbert space H, what do we know about the cardinality of
(a) the set $P(H)$ of projection operators onto $H$ (equi …