Work

On the Orlicz function estimations of the $a$-Davis--Wielandt radius in $C^*$-algebra

Year: 2026

Type: preprint

Abstract: We present a systematic study of $a$-Davis--Wielandt radius estimates for elements in a unital $C^*$-algebra through an Orlicz function approach. We derive novel bounds for the algebraic $a$-Davis--Wielandt radius and further obtain estimates for the classical algebraic Davis--Wielandt radius via polar decomposition and the Moore--Penrose inverse. The results obtained in this work extend, generalize, and unify a variety of established inequalities in the literature as special cases.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.16652

Authors: Bhattacharya, Debarati, Kittaneh, Fuad, Patra, Arnab

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213426433

Cites: 3

Cited by:

Related to: 10