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Non-Hyperreflexive Reflexive Spaces of Operators. / Bessonov, R.V.; Bracic, J.; Zajac, M.

In: Studia Mathematica, Vol. 202, No. 1, 2011, p. 65-80.

Research output: Contribution to journal › Article › peer-review

Harvard

Bessonov, RV, Bracic, J & Zajac, M 2011, 'Non-Hyperreflexive Reflexive Spaces of Operators', Studia Mathematica, vol. 202, no. 1, pp. 65-80.

APA

Bessonov, R. V., Bracic, J., & Zajac, M. (2011). Non-Hyperreflexive Reflexive Spaces of Operators. Studia Mathematica, 202(1), 65-80.

Vancouver

Bessonov RV, Bracic J, Zajac M. Non-Hyperreflexive Reflexive Spaces of Operators. Studia Mathematica. 2011;202(1):65-80.

Author

Bessonov, R.V. ; Bracic, J. ; Zajac, M. / Non-Hyperreflexive Reflexive Spaces of Operators. In: Studia Mathematica. 2011 ; Vol. 202, No. 1. pp. 65-80.

BibTeX

@article{4df6db18b160433eb5d12825f0532737,
title = "Non-Hyperreflexive Reflexive Spaces of Operators",
abstract = "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.",
keywords = "Hyperreflexivity constant, C_0 contraction, Jordan block, commutant, Blashke product Carleson condition",
author = "R.V. Bessonov and J. Bracic and M. Zajac",
year = "2011",
language = "English",
volume = "202",
pages = "65--80",
journal = "Studia Mathematica",
issn = "0039-3223",
publisher = "Instytut Matematyczny",
number = "1",

}

RIS

TY - JOUR

T1 - Non-Hyperreflexive Reflexive Spaces of Operators

AU - Bessonov, R.V.

AU - Bracic, J.

AU - Zajac, M.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Hyperreflexivity constant

KW - C_0 contraction

KW - Jordan block

KW - commutant

KW - Blashke product Carleson condition

M3 - Article

VL - 202

SP - 65

EP - 80

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

IS - 1

ER -

ID: 5235431