A note on generalized derivations in Banach algebras

Cheng-Kai Liu

doi:10.1016/j.jmaa.2011.03.059

A note on generalized derivations in Banach algebras

Cheng-Kai Liu

Department of Mathematics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

In this note we characterize a complex Banach algebra A admitting a generalized derivation g such that the cardinality of the spectrum σ(g(x)) is exactly one for all x∈A.

Original language	English
Pages (from-to)	192-197
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	384
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2011.03.059
Publication status	Published - 2011 Dec 15

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2011.03.059

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Liu, C-K. (2011). A note on generalized derivations in Banach algebras. Journal of Mathematical Analysis and Applications, 384(2), 192-197. https://doi.org/10.1016/j.jmaa.2011.03.059

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abstract = "In this note we characterize a complex Banach algebra A admitting a generalized derivation g such that the cardinality of the spectrum σ(g(x)) is exactly one for all x∈A.",

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