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1-Hyperreflexivity and Complete Hyperreflexivity

Functional Analysis 2015-02-06 v1

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 \bCTB(H)\bC T \otimes B(H) are analyzed in detail.

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Cite

@article{arxiv.math/0509182,
  title  = {1-Hyperreflexivity and Complete Hyperreflexivity},
  author = {Kenneth R. Davidson and Rupert H. Levene},
  journal= {arXiv preprint arXiv:math/0509182},
  year   = {2015}
}

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41 pages