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

Abstract

By the use of some inequalities for nonnegative Hermitian forms various 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.

Keywords

• hermitian forms
• hilbert spaces
• bounded linear operators
• normal operators
• operator norm and numerical radius