Non-hyperreflexive reflexive spaces of operators

Roman V. Bessonov; Janko Bračič; Michal Zajac

Studia Mathematica (2011)

  • Volume: 202, Issue: 1, page 65-80
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.