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Reflexivity and hyperreflexivity of the space of locally intertwining operators
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SYSNO ASEP 0346986 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Reflexivity and hyperreflexivity of the space of locally intertwining operators Author(s) Bračič, J. (SI)
Müller, Vladimír (MU-W) RID, SAI
Zajac, M. (SK)Source Title Journal of Operator Theory - ISSN 0379-4024
Roč. 63, č. 1 (2010), s. 101-114Number of pages 14 s. Language eng - English Country RO - Romania Keywords space of intertwiners ; space of local intertwiners ; commutant ; local commutant ; reflexivity ; hyperreflexivity Subject RIV BA - General Mathematics CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000277921600004 EID SCOPUS 77955038697 Annotation An operator S is a local intertwiner of operators A and B at vector e if SAe = BSe. We characterize the spaces of all local intertwiners I(A, B; e) that are reflexive (hyperreflexive). We show that in all interesting cases the reflexivity (hyperreflexivity) of I(A, B; e) depends only on B and is independent of A and e. This has consequences concerning the reflexivity of the space of intertwiners I(A, B) and of the commutant of an operator. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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