Sesquilinear version of numerical range and numerical radius

Moradi Hamid Reza; Omidvar Mohsen Erfanian; Dragomir Silvestru Sever; Khan Mohammad Saeed

doi:10.1515/ausm-2017-0024

Acta Universitatis Sapientiae: Mathematica (Dec 2017)

Sesquilinear version of numerical range and numerical radius

Moradi Hamid Reza,
Omidvar Mohsen Erfanian,
Dragomir Silvestru Sever,
Khan Mohammad Saeed

Affiliations

Moradi Hamid Reza: Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Omidvar Mohsen Erfanian: Department of Mathematics, Mashhad Branch, Islamic Azad University, Iran
Dragomir Silvestru Sever: Mathematics, College of Engineering and Science, Victoria University, Australia
Khan Mohammad Saeed: Department of Mathematics & Statistics, Sultan Qaboos University, Oman

DOI: https://doi.org/10.1515/ausm-2017-0024
Journal volume & issue: Vol. 9, no. 2
pp. 324 – 335

Abstract

Read online

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.

Published in Acta Universitatis Sapientiae: Mathematica

ISSN: 2066-7752 (Online)
Publisher: Scientia Publishing House
Country of publisher: Romania
LCC subjects: Science: Mathematics
Website: https://acta.sapientia.ro/en/series/mathematica

About the journal

Abstract

Keywords