Spectral radius inequalities for functions of operators defined by power series

DOI10.2298/FIL1610847DzbMATH Open1465.47013arXiv1302.2803OpenAlexW1512231778MaRDI QIDQ5279564

S. S. Dragomir

Publication date: 19 July 2017

Published in: Filomat (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1302.2803

zbMATH Keywords

power seriesbounded linear operatorsnumerical radiusfunctions of operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Numerical range, numerical radius (47A12)

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