EP modular operators and their products
Operator Algebras
2024-02-19 v2
Abstract
We study first EP modular operators on Hilbert C*-modules and then we provide necessary and sufficient conditions for the product of two EP modular operators to be EP. These enable us to extend some results of Koliha [{\it Studia Math.} {\bf 139} (2000), 81--90.] for an arbitrary C*-algebra and the C*-algebras of compact operators.
Keywords
Cite
@article{arxiv.1405.1917,
title = {EP modular operators and their products},
author = {Kamran Sharifi},
journal= {arXiv preprint arXiv:1405.1917},
year = {2024}
}
Comments
10 pages, some typos were made, misprints: "closeness" changes to "closedness" and in Lemma 3.1. "Then S" changes to "If T is normal or EP, then S". arXiv admin note: text overlap with arXiv:1010.4574