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Local Lie derivations on certain operator algebras
- Source :
- Ann. Funct. Anal. 8, no. 2 (2017), 270-280
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 2017.
-
Abstract
- In this paper, we investigate local Lie derivations of a certain class of operator algebras and show that, under certain conditions, every local Lie derivation of such an algebra is a Lie derivation.
- Subjects :
- Control and Optimization
Algebra and Number Theory
Simple Lie group
010102 general mathematics
47L35
derivation
010103 numerical & computational mathematics
Killing form
01 natural sciences
Affine Lie algebra
Lie conformal algebra
Graded Lie algebra
Algebra
Adjoint representation of a Lie algebra
Representation of a Lie group
17B40
Fundamental representation
Lie derivation
0101 mathematics
local Lie derivation
Analysis
Mathematics
Subjects
Details
- ISSN :
- 20088752
- Volume :
- 8
- Database :
- OpenAIRE
- Journal :
- Annals of Functional Analysis
- Accession number :
- edsair.doi.dedup.....1f84ec1f98e3ae655576a6a6ffae7ad2
- Full Text :
- https://doi.org/10.1215/20088752-0000012x