On closed range and normal operators in Hilbert C*-modules

Author(s):

Alireza Janfada , Javad Farokhi ostad

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The aim of this paper is to investigate the closed-ness of the range of the modular operators in Hilbert C*-modules. We present the conditions that, the reverse order law for the closed range modular operators and modular projections be holds. Also, we prove that, for modular operators A and B with closed ranges, if BA=0 then A†B† =0. Moreover, we give a novel characterization of the normal modular operators in Hilbert C*-modules.

Keywords:

Hilbert C*-modules , Modular operator , Reverse order law , Normal operator

Language:
English
Published:
Wavelets and Linear Algebra, Volume:8 Issue: 3, Autumn and Winter 2021
Pages:
71 to 91
https://www.magiran.com/p2543361