The weighted numerical radius

In this article, we introduce the definition of the weighted numerical radius ω ν ( T ) of a Hilbert space operator T , and present .many interesting properties of this newly defined notion. In particular, we find some bounds for ω ν and study its relation with the numerical radius ω ( · ) . Some bo...

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Bibliographic Details
Published inAnnals of functional analysis Vol. 13; no. 1
Main Authors Sheikhhosseini, Alemeh, Khosravi, Maryam, Sababheh, Mohammad
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2022
Subjects
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
Numerical radius
Operator inequality
15A39
15B48
Weighted numerical radius
47A30
47A63
Online AccessGet full text
ISSN2639-7390
2008-8752
DOI10.1007/s43034-021-00148-3

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Summary:In this article, we introduce the definition of the weighted numerical radius ω ν ( T ) of a Hilbert space operator T , and present .many interesting properties of this newly defined notion. In particular, we find some bounds for ω ν and study its relation with the numerical radius ω ( · ) . Some bounds for ω ν will be matched with known bounds for ω .
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-021-00148-3