TY - JOUR
ID - 28402
TI - Products Of EP Operators On Hilbert C*-Modules
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Farokhi-Ostad, Javad
AU - Janfada, Ali Reza
AD - Department of Mathematics, Faculty of Mathematics and Statistics, University of Birjand, Birjand, Iran.
Y1 - 2018
PY - 2018
VL - 10
IS - 1
SP - 61
EP - 71
KW - Closed range
KW - EP operators
KW - Moore-Penrose inverse
KW - Hilbert $C^*$-module
DO - 10.22130/scma.2017.28402
N2 - 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 $R$.
UR - https://scma.maragheh.ac.ir/article_28402.html
L1 - https://scma.maragheh.ac.ir/article_28402_1be457bb812e3fe49f49618ae3136280.pdf
ER -