Title of article :
Products Of EP Operators On Hilbert C*-Modules
Author/Authors :
Farokhi-Ostad ، Javad - University of Birjand , Janfada ، Ali Reza - University of Birjand
Abstract :
In this paper, the special attention is given to the prod- uct 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.
Keywords :
Closed range , EP operators , Moore , Penrose inverse , Hilbert C* , module.
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis