Geodesic
Non-hyperreflexive reflexive spaces of operators
Roman V. Bessonov1 ; Janko Bračič2 ; Michal Zajac3
1 Steklov Institute of Mathematics of Russian Academy of Sciences St. Petersburg Department
2 IMFM University of Ljubljana Jadranska 19 1000 Ljubljana, Slovenia
3 Department of Mathematics Slovak University of Technology SK-812 19 Bratislava, Slovakia
Studia Mathematica, Tome 202 (2011) no. 1, pp. 65-80

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study operators whose commutant is reflexive but not hyperreflexive. We construct a $C_0$ 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.
DOI : 10.4064/sm202-1-4
Keywords: study operators whose commutant reflexive hyperreflexive construct contraction jordan block operator associated blaschke product which have above mentioned property sufficient condition hyperreflexivity given other results related hyperreflexivity spaces operators could interesting themselves proved

Roman V. Bessonov 1 ; Janko Bračič 2 ; Michal Zajac 3

1 Steklov Institute of Mathematics of Russian Academy of Sciences St. Petersburg Department
2 IMFM University of Ljubljana Jadranska 19 1000 Ljubljana, Slovenia
3 Department of Mathematics Slovak University of Technology SK-812 19 Bratislava, Slovakia 
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Roman V. Bessonov; Janko Bračič; Michal Zajac. Non-hyperreflexive reflexive spaces of operators. Studia Mathematica, Tome 202 (2011) no. 1, pp. 65-80. doi: 10.4064/sm202-1-4

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