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 › peer-review

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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title = "A note on generalized derivations in Banach algebras",

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.",

author = "Cheng-Kai Liu",

year = "2011",

month = dec,

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doi = "10.1016/j.jmaa.2011.03.059",

language = "English",

volume = "384",

pages = "192--197",

journal = "Journal of Mathematical Analysis and Applications",

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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