كليدواژه :
Hilbert $C^{*}$ , modules , $C^{*}$ , algebras , EP operators , Moore , Penrose inverse , $C^{*}$ , algebra of compact operators
چكيده فارسي :
A closed range module map is called EP if the map and its adjoint have the same range. We
study first EP module maps 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 improve
some of older results for the product of two EP elements in $C^{*}$-algebras
