2-Local derivations on algebras of matrix-valued functions on a compact
Operator Algebras
2015-09-21 v1
Abstract
In the present paper 2-local derivations on various algebras of infinite dimensional matrix-valued functions on a compact are considered. It is proved that every 2-local derivation on such algebra is a derivation. Also we explain that the method developed in the given paper can be applied to associative, Jordan and Lie algebras of infinite dimensional matrix-valued functions on a compact.
Keywords
Cite
@article{arxiv.1509.05701,
title = {2-Local derivations on algebras of matrix-valued functions on a compact},
author = {Shavkat Ayupov and Farhodjon Arzikulov},
journal= {arXiv preprint arXiv:1509.05701},
year = {2015}
}
Comments
8 pages. arXiv admin note: substantial text overlap with arXiv:1112.6236