Hypo-EP Matrices of Adjointable Operators on Hilbert -Modules

摘要

This paper introduces and studies hypo-EP matrices of adjointable operators on Hilbert - modules, based on the generalized Schur complement. The necessary and sufficient conditions for some modular operator matrices to be hypo-EP are given, and some special circumstances are also analyzed. Furthermore, an application of the EP operator in operator equations is given.