Research Article

Moroccan Journal of Pure and Applied Analysis

, 2:5

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Further Inequalities for Sequences and Power Series of Operators in Hilbert Spaces Via Hermitian Forms

  • S. S. DragomirAffiliated withMathematics, School of Engineering & Science, Victoria UniversitySchool of Computational & Applied Mathematics, University of the Witwatersrand Email author 

Abstract

By the use of some inequalities for nonnegative Hermitian forms some new inequalities for sequences and power series of bounded linear operators in complex Hilbert spaces are established. Applications for some fundamental functions of interest are also given.

Key words and phrases

Hermitian forms Inner product Hilbert space Schwarz inequality Numerical radius Operator norm Functions of operators