Title : ( Factorization and range inclusion of adjointable operators on the weighted Hilbert C^∗-modules )
Authors: Chunghong Fu , Mohammad Sal Moslehian , Qingxiang Xu , Ali Zamani ,
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Abstract
The indefinite inner products induced by invertible and self-adjoint weights are introduced for elements in Hilbert C∗ -modules. The solvability of the equation AX =C is considered for Hilbert C∗ -module operators. Some equivalent conditions concerning two aspects of factorization and range inclusion are refined and generalized to the weighted case.
Keywords
, Hilbert C∗ -module, factorization, range inclusion, weight, reduced solution.
@article{paperid:1083658,
author = {Chunghong Fu and Sal Moslehian, Mohammad and Qingxiang Xu and Ali Zamani},
title = {Factorization and range inclusion of adjointable operators on the weighted Hilbert C^∗-modules},
journal = {Operators and Matrices},
year = {2020},
number = {4},
month = {January},
issn = {1846-3886},
pages = {959--969},
numpages = {10},
keywords = {Hilbert C∗ -module; factorization; range inclusion; weight; reduced solution.},
}
%0 Journal Article
%T Factorization and range inclusion of adjointable operators on the weighted Hilbert C^∗-modules
%A Chunghong Fu
%A Sal Moslehian, Mohammad
%A Qingxiang Xu
%A Ali Zamani
%J Operators and Matrices
%@ 1846-3886
%D 2020
