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arXiv · math/0509182

1-Hyperreflexivity and Complete Hyperreflexivity

Kenneth R. Davidson·Rupert H. Levene
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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.

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Kenneth R. Davidson, Rupert H. Levene. 2005-09-08. 1-Hyperreflexivity and Complete Hyperreflexivity. https://doi.org/10.1016/j.jfa.2005.12.003

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