1-Hyperreflexivity and Complete Hyperreflexivity

Details 1-Hyperreflexivity and Complete Hyperreflexivity 1-Hyperreflexivity and Complete Hyperreflexivity

2005-09-08

arxiv.org/abs/math/0509182v1

Mathematics

Functional Analysis

41 pages

Scientific paper

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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