A new seminorm of $n$-tuple operators and its applications

Pintu Bhunia; Messaoud Guesba

A new seminorm of $n$-tuple operators and its applications

Functional Analysis 2025-07-01 v1

Authors: Pintu Bhunia , Messaoud Guesba

Abstract

We introduce a new seminorm of $n$ -tuple operators, which generalizes the $A$ -Euclidean operator radius of $n$ -tuple bounded linear operators on a complex Hilbert space. We introduce and study basic properties of this seminorm. As an application of the present study, we estimate bounds for the $A$ -Euclidean operator radius ( $A$ -joint numerical radius). In addition, we improve on some of the important existing $A$ -numerical radius inequalities and related results.

Keywords

operator seminorm Euclidean operator radius Hilbert space operator inequalities numerical radius

Cite

@article{arxiv.2506.23642,
  title  = {A new seminorm of $n$-tuple operators and its applications},
  author = {Pintu Bhunia and Messaoud Guesba},
  journal= {arXiv preprint arXiv:2506.23642},
  year   = {2025}
}

Comments

17 pages

Related papers

View all related →