Spectral Radius Inequalities for Functions of Operators Defined by Power Series

2013/02/11 by Sever S Dragomir, Dragomir, S. S.
Computer Science · Mathematics · #47A63 #47A99 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.1302.2803

openalex publication_date 2013/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By the help of power series f we can naturally construct another power series that has as coefficients the absolute values of the coefficients of f. Utilising these functions we prove some inequalities for the spectral radius of the bounded linear operator f(T) on a complex Hilbert space and some functions of its norm. The case of two commuting operators is also investigated.

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