Proper Improvement of Well-Known Numerical Radius Inequalities and Their Applications

New inequalities for the numerical radius of bounded linear operators defined on a complex Hilbert space H are given. In particular, it is established that if T is a bounded linear operator on a Hilbert space H then w 2 ( T ) ≤ min 0 ≤ α ≤ 1 α T ∗ T + ( 1 - α ) T T ∗ , where w ( T ) is the numerical...

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Bibliographic Details

Published in:	Resultate der Mathematik Vol. 76; no. 4
Main Authors:	Bhunia, Pintu, Paul, Kallol
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.12.2021
Subjects:	Mathematics Mathematics and Statistics bounded linear operator 26C10 zeros of polynomial operator norm 47A12 Hilbert space 15A60 numerical radius
ISSN:	1422-6383, 1420-9012
Online Access:	Get full text
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