Počet záznamů: 1

Reflexivity and hyperreflexivity of the space of locally intertwining operators

  1. 1.
    0346986 - MU-W 2011 RIV RO eng J - Článek v odborném periodiku
    Bračič, J. - Müller, Vladimír - Zajac, M.
    Reflexivity and hyperreflexivity of the space of locally intertwining operators.
    Journal of Operator Theory. Roč. 63, č. 1 (2010), s. 101-114 ISSN 0379-4024
    Grant ostatní:MŠ SR(SK) G-1/3025/06; bilateral research cooperation between Czech and Slovak republics(SK) SK-79/CZ-89
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: space of intertwiners * space of local intertwiners * commutant * local commutant * reflexivity * hyperreflexivity
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.460, rok: 2010
    http://www.mathjournals.org/jot/2010-063-001/2010-063-001-004.html

    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.
    Trvalý link: http://hdl.handle.net/11104/0187866
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