Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules

In the present paper, we introduce  the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type  for  the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and $K$-frame in the Hilbert pro-$C^{\ast}$-mo...

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Bibliographic Details
Main Authors: Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra
Format: Article
Language:English
Published: University of Maragheh 2024-03-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_709282_b1619307a596f9e48f9f42bac1fa2ceb.pdf
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