Weak-2-local *-derivations on B(H) are linear *-derivations

AuthorsMohsen Niazi,
JournalLinear Algebra and its Applications
Page number276-300
Serial number487
Volume number1
IF0.973
Paper TypeFull Paper
Published At2015
Journal GradeISI
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of
Journal IndexJCR،Scopus

Abstract

We prove that, for every separable complex Hilbert space H, every weak-2-local *-derivation on B(H) is a linear *-derivation. We also establish that every (non-necessarily linear nor continuous) weak-2-local derivation on a finite dimensional C*-algebra is a linear derivation.

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tags: weak-2-local derivations, weak-2-local *-derivations, finite dimensional C*-algebras