Topological reflexivity of the spaces of (α,β)-derivations on operator algebras

Wu Jing; Shijie Lu

Studia Mathematica (2003)

  • Volume: 156, Issue: 2, page 121-131
  • ISSN: 0039-3223

Abstract

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We prove that the spaces of (α,β)-derivations on certain operator algebras are topologically reflexive in the weak operator topology. Characterizations of automorphisms and (α,β)-derivations on reflexive algebras are also given.

How to cite

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Wu Jing, and Shijie Lu. "Topological reflexivity of the spaces of (α,β)-derivations on operator algebras." Studia Mathematica 156.2 (2003): 121-131. <http://eudml.org/doc/284483>.

@article{WuJing2003,
abstract = {We prove that the spaces of (α,β)-derivations on certain operator algebras are topologically reflexive in the weak operator topology. Characterizations of automorphisms and (α,β)-derivations on reflexive algebras are also given.},
author = {Wu Jing, Shijie Lu},
journal = {Studia Mathematica},
keywords = {topological reflexivity; ; ); automorphism; reflexive algebra; von Neumann algebra},
language = {eng},
number = {2},
pages = {121-131},
title = {Topological reflexivity of the spaces of (α,β)-derivations on operator algebras},
url = {http://eudml.org/doc/284483},
volume = {156},
year = {2003},
}

TY - JOUR
AU - Wu Jing
AU - Shijie Lu
TI - Topological reflexivity of the spaces of (α,β)-derivations on operator algebras
JO - Studia Mathematica
PY - 2003
VL - 156
IS - 2
SP - 121
EP - 131
AB - We prove that the spaces of (α,β)-derivations on certain operator algebras are topologically reflexive in the weak operator topology. Characterizations of automorphisms and (α,β)-derivations on reflexive algebras are also given.
LA - eng
KW - topological reflexivity; ; ); automorphism; reflexive algebra; von Neumann algebra
UR - http://eudml.org/doc/284483
ER -

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