<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

By the use of some inequalities for nonnegative Hermitian forms various inequalities for sequences and power series of bounded linear operators in complex...

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

Published Online: Sep 02, 2017

Page range: 63 - 86

Received: Apr 11, 2016

Accepted: Apr 12, 2016

DOI: https://doi.org/10.1515/awutm-2017-0005

Keywords
Hermitian forms, Hilbert spaces, Bounded linear operators, Normal operators, Operator norm and numerical radius

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 02, 2017

Page range: 63 - 86

Received: Apr 11, 2016

Accepted: Apr 12, 2016

DOI: https://doi.org/10.1515/awutm-2017-0005

KeywordsHermitian forms, Hilbert spaces, Bounded linear operators, Normal operators, Operator norm and numerical radius

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Hermitian forms, Hilbert spaces, Bounded linear operators, Normal operators, Operator norm and numerical radius