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arxiv: math/0509182 · v1 · pith:7EEZNJN5new · submitted 2005-09-08 · 🧮 math.FA

1-Hyperreflexivity and Complete Hyperreflexivity

classification 🧮 math.FA
keywords hyperreflexivitycompleteconstanthyperreflexivesubspacesanalyzedclassifiedcompletely
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The subspaces and subalgebras of B(H) which are hyperreflexive with constant 1 are completely classified. It is shown that there are 1-hyperreflexive subspaces for which the complete hyperreflexivity constant is strictly greater than 1. The constants for $\bC T \otimes B(H)$ are analyzed in detail.

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