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Information Journal Paper

Title

On the reduced minimum modulus of multiplication operators

Pages

  29-33

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 $R_T$.

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