A note on two-sided ideals in locally C*-algebras
arXiv:1304.2432
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.
arXiv admin note: substantial text overlap with arXiv:1201.0574, arXiv:1012.5196