Local derivations on measurable operators and commutativity
Operator Algebras
2017-01-10 v1
Abstract
We prove that a von Neumann algebra is abelian if and only if the square of every derivation on the algebra of measurable operators, affiliated with , is a local derivation. We also show that for general associative unital algebras this is not true.
Cite
@article{arxiv.1604.07147,
title = {Local derivations on measurable operators and commutativity},
author = {Shavkat Ayupov and Karimbergen Kudaybergenov},
journal= {arXiv preprint arXiv:1604.07147},
year = {2017}
}
Comments
8 pages. arXiv admin note: text overlap with arXiv:1602.04959