Products Of EP Operators On Hilbert C*-Modules

Autor: Javad Farokhi-Ostad, Ali Reza Janfada
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Sahand Communications in Mathematical Analysis, Vol 10, Iss 1, Pp 61-71 (2018)
Druh dokumentu: article
ISSN: 2322-5807
2423-3900
DOI: 10.22130/scma.2017.28402
Popis: In this paper, the special attention is given to the product of two modular operators, and when at least one of them is EP, some interesting results is made, so the equivalent conditions are presented that imply the product of operators is EP. Also, some conditions are provided, for which the reverse order law is hold. Furthermore, it is proved that $P(RPQ)$ is idempotent, if $RPQ$† has closed range, for orthogonal projections $P,Q$ and $R$.
Databáze: Directory of Open Access Journals