Derivations implemented by local multipliers

Author:

Mathieu Martin

Abstract

A condition on a derivation of an arbitrary C*-algebra is presented entailing that it is implemented as an inner derivation by a local multiplier.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. On the symmetric algebra of quotients of a 𝐶*-algebra;Ara, Pere;Glasgow Math. J.,1990

2. A local version of the Dauns-Hofmann theorem;Ara, Pere;Math. Z.,1991

3. An application of local multipliers to centralizing mappings of 𝐶*-algebras;Ara, Pere;Quart. J. Math. Oxford Ser. (2),1993

4. Automorphisms determined by multipliers on ideals of a 𝐶*-algebra;Elliott, George A.;J. Functional Analysis,1976

5. A condition that a derivation be inner;Herstein, I. N.;Rend. Circ. Mat. Palermo (2),1988

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A simple local multiplier algebra;Mathematical Proceedings of the Cambridge Philosophical Society;1999-05

2. The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis;Modules and Comodules

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