Further bounds on $p$-numerical radii of operators via generalized Aluthge transform

Satyajit Sahoo

Further bounds on $p$-numerical radii of operators via generalized Aluthge transform

Functional Analysis 2025-04-08 v1

Authors: Satyajit Sahoo

Abstract

The main aim of this article is to establish several $p$ -numerical radius inequalities via the $(f,g)$ -Aluthge transform of Hilbert space operators and operator matrices. Furthermore, various classical numerical radius and norm inequalities for Hilbert space operators are also discussed. The bounds obtained in this work improve upon several well-known earlier results.

Keywords

p-numerical radius Aluthge transform operator inequalities Hilbert space operators numerical radius bounds

Cite

@article{arxiv.2504.04693,
  title  = {Further bounds on $p$-numerical radii of operators via generalized Aluthge transform},
  author = {Satyajit Sahoo},
  journal= {arXiv preprint arXiv:2504.04693},
  year   = {2025}
}

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12 pages

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