Abstract
We prove that every Lie derivation on a solid $\ast$-subalgebra in an algebra of locally measurable operators is equal to a sum of an associative derivation and a center-valued trace.
Key words: Von Neumann algebras, locally measurable operator, derivation, Lie derivation, center-valued trace.
Full Text
Article Information
| Title | Lie derivations on the algebras of locally measurable operators |
| Source | Methods Funct. Anal. Topology, Vol. 24 (2018), no. 1, 16-26 |
| MathSciNet |
MR3783814 |
| Milestones | Received 10/05/2017; Revised 05/06/2017 |
| Copyright | The Author(s) 2018 (CC BY-SA) |
Authors Information
Vladimir Chilin
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Ilkhom Juraev
Bukhara State University, Bukhara, 100200, Uzbekistan
Citation Example
Vladimir Chilin and Ilkhom Juraev, Lie derivations on the algebras of locally measurable operators, Methods Funct. Anal. Topology 24
(2018), no. 1, 16-26.
BibTex
@article {MFAT1021,
AUTHOR = {Vladimir Chilin and Ilkhom Juraev},
TITLE = {Lie derivations on the algebras of locally measurable operators},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {24},
YEAR = {2018},
NUMBER = {1},
PAGES = {16-26},
ISSN = {1029-3531},
MRNUMBER = {MR3783814},
URL = {http://mfat.imath.kiev.ua/article/?id=1021},
}
