A note on generalized derivations in Banach algebras

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)192-197
Number of pages6
JournalJournal of Mathematical Analysis and Applications
Volume384
Issue number2
DOIs
Publication statusPublished - 2011 Dec 15

Fingerprint

Generalized Derivation
Banach algebra
Algebra
Cardinality

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

@article{b85566f286fb4064b3bd4268a31736e8,
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 = "12",
day = "15",
doi = "10.1016/j.jmaa.2011.03.059",
language = "English",
volume = "384",
pages = "192--197",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",

}

A note on generalized derivations in Banach algebras. / Liu, Cheng-Kai.

In: Journal of Mathematical Analysis and Applications, Vol. 384, No. 2, 15.12.2011, p. 192-197.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A note on generalized derivations in Banach algebras

AU - Liu, Cheng-Kai

PY - 2011/12/15

Y1 - 2011/12/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79961031177&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79961031177&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2011.03.059

DO - 10.1016/j.jmaa.2011.03.059

M3 - Article

AN - SCOPUS:79961031177

VL - 384

SP - 192

EP - 197

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -