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

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

Mathematics, School of Engineering & Science Victoria University, PO Box 14428 Melbourne City, MC 8001, Australia

School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050,

Moroccan Journal of Pure and Applied Analysis

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

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

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

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 47 - 64

Received: Mar 15, 2016

Accepted: May 13, 2016

DOI: https://doi.org/10.7603/s40956-016-0005-1

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

© 2017

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

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

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 47 - 64

Received: Mar 15, 2016

Accepted: May 13, 2016

DOI: https://doi.org/10.7603/s40956-016-0005-1

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

© 2017

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

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