12 lines
423 B
TeX
12 lines
423 B
TeX
\section{$B(H)$}
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\label{section:hilbert-endomorphism}
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\begin{definition}[$B(H)$]
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\label{definition:hilbert-endomorphism}
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Let $H$ be a Hilbert space, then $B(H) = L(H; H)$ is the algebra of all bounded linear operators on $H$.
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\end{definition}
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% 1. Every non-trivial ideal of B(H) contains the finite-rank operators.
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% 2. If H is separable, then the only non-trivial closed idela of B(H) are the compact operators.
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