Non-hyperreflexive reflexive spaces of operators

作者：Bessonov Roman V^*; Bracic Janko; Zajac Michal

来源：Studia Mathematica, 2011, 202(1): 65-80.

DOI：10.4064/sm202-1-4

• hyperreflexivity constant
• C-0 contraction
• Jordan block
• commutant
• Blaschke product
• Carleson condition

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.

• 出版日期2011