Sesquilinear version of numerical range and numerical radius

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

doi:10.1515/ausm-2017-0024

Sesquilinear version of numerical range and numerical radius

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

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	324-335
Number of pages	12
Journal	Acta Universitatis Sapientiae, Mathematica
Volume	9
Issue number	2
DOIs	https://doi.org/10.1515/ausm-2017-0024
Publication status	Published - Dec 2017

Keywords

Norm inequality
Numerical radius
Numerical range
Sesquilinear form

ASJC Scopus subject areas

Mathematics(all)

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10.1515/ausm-2017-0024

Cite this

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title = "Sesquilinear version of numerical range and numerical radius",

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.",

keywords = "Norm inequality, Numerical radius, Numerical range, Sesquilinear form",

author = "Moradi, {Hamid Reza} and Dragomir, {Silvestru Sever} and Omidvar, {Mohsen Erfanian} and Khan, {Mohammad Saeed}",

note = "Funding Information: The authors would like to express our gratitude to the referee for the helpful comments. Publisher Copyright: {\textcopyright} 2017 Sapientia University. All rights reserved.",

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AU - Moradi, Hamid Reza

AU - Dragomir, Silvestru Sever

AU - Omidvar, Mohsen Erfanian

AU - Khan, Mohammad Saeed

PY - 2017/12

Y1 - 2017/12

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KW - Numerical radius

KW - Numerical range

KW - Sesquilinear form

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Sesquilinear version of numerical range and numerical radius

Abstract

Keywords

ASJC Scopus subject areas

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