ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

Two Equal Range Operators on Hilbert $C^*$-modules

Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 2)

Publication Date:

Authors : ; ;

Page : 85-96

Keywords : Closed range; Moore-Penrose inverse; Hilbert $C^*$-module;

Source : Download Find it from : Google Scholarexternal

Abstract

In this paper, number of properties, involving invertibility, existence of Moore-Penrose inverse and etc for modular operators with the same ranges on Hilbert $C^*$-modules  are presented. Natural decompositions of operators with closed range enable us to find some relations of the product of operators with  Moore-Penrose inverses under the condition that they have  the same ranges  in Hilbert $C^*$-modules. The triple reverse order law and the mixed reverse order law in the special cases are also given. Moreover, the range property and Moore-Penrose inverse are illustrated.

Last modified: 2021-11-03 14:32:34