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1-Hyperreflexivity and Complete Hyperreflexivity

arXiv:math/0509182 · doi:10.1016/j.jfa.2005.12.003

Abstract

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.

41 pages