Abstract
We introduce and study the notion of operator hyperreflexivity of subspace lattices. This notion is a natural analogue of the operator reflexivity and is related to hyperreflexivity of subspace lattices introduced by Davidson and Harrison.
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Acknowledgement
We would like to thank the referee for suggestions which helped to simplify the proof of Corollary 4.2.
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The research was partially supported by the following grants: MEB 090905, BI-CZ/09-10-005, BI-PL/08-09-016, IAA100190903 of GA AV ČR.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Bračič, J., Kliś-Garlicka, K., Müller, V. et al. Operator Hyperreflexivity of Subspace Lattices. Integr. Equ. Oper. Theory 68, 383–390 (2010). https://doi.org/10.1007/s00020-010-1804-9
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DOI: https://doi.org/10.1007/s00020-010-1804-9