<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper by using the notion of sesquilinear form we introduce a new class of numerical range and numerical radius in normed space 𝒱, also its various characterizations are given. We apply our results to get some inequalities.</p></abstract>

In this paper by using the notion of sesquilinear form we introduce a new class of numerical range and numerical radius in normed space 𝒱, also its various characterizations are given. We apply our results to get some inequalities.

Sesquilinear version of numerical range and numerical radius

Young Researchers and Elite Club, Mashhad Branch

Department of Mathematics, Mashhad Branch

Mathematics, College of Engineering and Science

Acta Universitatis Sapientiae, Mathematica

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

{"article-title":"Sesquilinear version of numerical range and numerical radius"}

In this paper by using the notion of sesquilinear form we introduce a new class of numerical range and numerical radius in normed space 𝒱, also its various...

Sesquilinear version of numerical range and numerical radius

Published Online: Mar 07, 2018

Page range: 324 - 335

Received: Dec 08, 2016

DOI: https://doi.org/10.1515/ausm-2017-0024

Keywords
sesquilinear form, numerical range, numerical radius, norm in-equality

© 2017 Hamid Reza Moradi et al., published by De Gruyter Open

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

Sesquilinear version of numerical range and numerical radius

Published Online: Mar 07, 2018

Page range: 324 - 335

Received: Dec 08, 2016

DOI: https://doi.org/10.1515/ausm-2017-0024

Keywordssesquilinear form, numerical range, numerical radius, norm in-equality

© 2017 Hamid Reza Moradi et al., published by De Gruyter Open

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

Keywords
sesquilinear form, numerical range, numerical radius, norm in-equality