A note on two-sided ideals in locally C*-algebras
Operator Algebras
2013-04-11 v2 Functional Analysis
Abstract
In the present note we show that if A is a locally C*-algebra, and I and J are closed two-sided ideals in A, then the positive part of (I+J) is equal to the sum of positive parts of I and J.
Cite
@article{arxiv.1304.2432,
title = {A note on two-sided ideals in locally C*-algebras},
author = {Alexander A. Katz},
journal= {arXiv preprint arXiv:1304.2432},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1201.0574, arXiv:1012.5196