<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.</p></abstract>

Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.

Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces

Mathematics, School of Engineering & Science

DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces"}

Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions...

Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces

Published Online: Aug 05, 2017

Page range: 74 - 93

Received: Oct 17, 2016

DOI: https://doi.org/10.1515/ausm-2017-0006

Keywords
trace class operators, Hilbert-Schmidt operators, Schwarz in-equality, Grüss inequality solution

© 2017 Sever S. Dragomir, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces

Published Online: Aug 05, 2017

Page range: 74 - 93

Received: Oct 17, 2016

DOI: https://doi.org/10.1515/ausm-2017-0006

Keywordstrace class operators, Hilbert-Schmidt operators, Schwarz in-equality, Grüss inequality solution

© 2017 Sever S. Dragomir, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
trace class operators, Hilbert-Schmidt operators, Schwarz in-equality, Grüss inequality solution