Hypo-EP Matrices of Adjointable Operators on Hilbert C ∗ -Modules

Complexity 2021:1-8 (2021)
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Abstract

This paper introduces and studies hypo-EP matrices of adjointable operators on Hilbert C ∗ -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.

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