2-Local derivations on AW$^*$-algebras of type I
Operator Algebras
2015-07-10 v2
Abstract
It is proved that every 2-local derivation on an AW-algebra of type I is a derivation. Also an analog of Gleason theorem for signed measures on projections of homogenous AW-algebras except the cases of an AW-algebra of type I and a factor of type I, is proved.
Keywords
Cite
@article{arxiv.1409.5571,
title = {2-Local derivations on AW$^*$-algebras of type I},
author = {Shavkat Ayupov and Farkhad Arzikulov},
journal= {arXiv preprint arXiv:1409.5571},
year = {2015}
}
Comments
17 pages