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On the reduced minimum modulus of multiplication operators
- Source :
- Mathematics and Computational Sciences, Vol 5, Iss 2, Pp 29-33 (2024)
- Publication Year :
- 2024
- Publisher :
- Qom University of Technology, 2024.
-
Abstract
- In this paper, we investigate the properties of the reduced minimum modulus in the context of Banach spaces. Given a Banach space $X$, we denote the algebra of bounded operators on $X$ as $B(X)$. Our primary focus is on examining the relationship between the reduced minimum modulus of a given operator $T \in B(X)$ and its associated left and right multiplication operators, denoted by $L_T: S \mapsto TS$ and $R_T: S \mapsto ST$, respectively. By analyzing these relationships, we present a comprehensive analysis of their properties and derive novel results concerning the reduced minimum modulus of $L_T$ and $R_T$.
Details
- Language :
- English
- ISSN :
- 27172708
- Volume :
- 5
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics and Computational Sciences
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1ef31759716640be8ec6a913fc27d716
- Document Type :
- article
- Full Text :
- https://doi.org/10.30511/mcs.2024.2025954.1162