The numerical radius and positivity of block matrices

Authors

Rajendra Bhatia, Ashoka University
Tanvi Jain, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

Abstract

This article has two interpenetrating motifs. One is an exposition of some major ideas and techniques behind the use of block matrices, and especially their positivity properties. This is done by focussing on one major problem: characterisation of operators whose numerical radius is bounded by one. So, the article could serve as an introduction to that topic as well.

First Page

463

Last Page

482

DOI

https://10.1016/j.laa.2022.10.009

Publication Date

1-1-2023

Comments

Open Access, Green

Recommended Citation

Bhatia, Rajendra and Jain, Tanvi, "The numerical radius and positivity of block matrices" (2023). Journal Articles. 4014.
https://digitalcommons.isical.ac.in/journal-articles/4014