The behavior of an operator in terms of its components onHilbert C∗-modules

In this paper, the behavior of an operator on Hilbert C∗-module via the matrixdecomposition, have been studied. This relationship has been verified in terms ofboundedness, closed ranges, homogeneity, normality and some other characteristics.Also, we have shown that if T is EP, then its components are also EP. Finally, wehave provided conditions under which T is a hypo-EP operator.

کلیدواژه ها:

Hilbert C∗-module ، Moore-Penrose inverse ، EP operator