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Topological reflexivity of the spaces of $(\alpha , \beta )$-derivations on operator algebras

Volume 156 / 2003

Wu Jing, Shijie Lu Studia Mathematica 156 (2003), 121-131 MSC: 47B47, 47L75. DOI: 10.4064/sm156-2-3

Abstract

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

Authors

  • Wu JingDepartment of Mathematics
    Yuquan Campus
    Zhejiang University
    Hangzhou 310027
    People's Republic of China
    e-mail
  • Shijie LuDepartment of Mathematics
    Yuquan Campus
    Zhejiang University
    Hangzhou 310027
    People's Republic of China
    e-mail

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