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 | |
| Publication status | Published - 2011 Dec 15 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cite this
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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 journal › Article
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 -