Further results on A-numerical radius inequalities

Let A be a bounded linear positive operator on a complex Hilbert space H . Furthermore, let B A ( H ) denote the set of all bounded linear operators on H whose A -adjoint exists, and A signify a diagonal operator matrix with diagonal entries are A . Very recently, several A -numerical radius inequal...

Full description

Saved in:
Bibliographic Details
Published in:Annals of functional analysis 2022-01, Vol.13 (1), Article 13
Main Authors: Rout, Nirmal Chandra, Mishra, Debasisha
Format: Article
Language:English
Subjects:
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let A be a bounded linear positive operator on a complex Hilbert space H . Furthermore, let B A ( H ) denote the set of all bounded linear operators on H whose A -adjoint exists, and A signify a diagonal operator matrix with diagonal entries are A . Very recently, several A -numerical radius inequalities of 2 × 2 operator matrices were established. In this paper, we prove a few new A -numerical radius inequalities for 2 × 2 and n × n operator matrices. We also provide a new proof of an existing result by relaxing a sufficient condition “ A is strictly positive”. Our proofs show the importance of the theory of the Moore–Penrose inverse of a bounded linear operator in this field of study.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-021-00156-3