Non-hyperreflexive reflexive spaces of operators

• Autorzy: Roman V. Bessonov , Janko Bračič , Michal Zajac
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A45: Canonical models for contractions and nonselfadjoint operators
• 47A15: Invariant subspaces
• 47L05: Linear spaces of operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 202
• Numer: 1
• Strony: 65-80

Daty

wydano

2011

Twórcy

autor

Roman V. Bessonov

• Steklov Institute of Mathematics of Russian Academy of Sciences, St. Petersburg Department

autor

Janko Bračič

• IMFM, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia

autor

Michal Zajac

• Department of Mathematics, Slovak University of Technology, SK-812 19 Bratislava, Slovakia

Identyfikatory

DOI

10.4064/sm202-1-4