Non-hyperreflexive reflexive spaces of operators
Roman V. Bessonov ; Janko Bračič ; Michal Zajac
Studia Mathematica, Tome 204 (2011), p. 65-80 / Harvested from The Polish Digital Mathematics Library
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We study operators whose commutant is reflexive but not hyperreflexive. We construct a C₀ contraction and a Jordan block operator SB associated with a Blaschke product B which have the above mentioned property. A sufficient condition for hyperreflexivity of SB is given. Some other results related to hyperreflexivity of spaces of operators that could be interesting in themselves are proved.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:285639 
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Roman V. Bessonov; Janko Bračič; Michal Zajac. Non-hyperreflexive reflexive spaces of operators. Studia Mathematica, Tome 204 (2011) pp. 65-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm202-1-4/