Non-hyperreflexive reflexive spaces of operators

Roman V. Bessonov, Janko Bračič, and Michal Zajac. "Non-hyperreflexive reflexive spaces of operators." Studia Mathematica 202.1 (2011): 65-80. <http://eudml.org/doc/285639>.

@article{RomanV2011,
abstract = {We study operators whose commutant is reflexive but not hyperreflexive. We construct a C₀ contraction and a Jordan block operator $S_\{B\}$ associated with a Blaschke product B which have the above mentioned property. A sufficient condition for hyperreflexivity of $S_\{B\}$ is given. Some other results related to hyperreflexivity of spaces of operators that could be interesting in themselves are proved.},
author = {Roman V. Bessonov, Janko Bračič, Michal Zajac},
journal = {Studia Mathematica},
keywords = {reflexive and hyperreflexive subspaces; hyperreflexivity constant; -contractions; Blaschke products},
language = {eng},
number = {1},
pages = {65-80},
title = {Non-hyperreflexive reflexive spaces of operators},
url = {http://eudml.org/doc/285639},
volume = {202},
year = {2011},
}

TY - JOUR
AU - Roman V. Bessonov
AU - Janko Bračič
AU - Michal Zajac
TI - Non-hyperreflexive reflexive spaces of operators
JO - Studia Mathematica
PY - 2011
VL - 202
IS - 1
SP - 65
EP - 80
AB - We study operators whose commutant is reflexive but not hyperreflexive. We construct a C₀ contraction and a Jordan block operator $S_{B}$ associated with a Blaschke product B which have the above mentioned property. A sufficient condition for hyperreflexivity of $S_{B}$ is given. Some other results related to hyperreflexivity of spaces of operators that could be interesting in themselves are proved.
LA - eng
KW - reflexive and hyperreflexive subspaces; hyperreflexivity constant; -contractions; Blaschke products
UR - http://eudml.org/doc/285639
ER -