AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (247.1 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

On (n1,⋯,nm)-hyponormal tuples of Hilbert space operators

Sid Ahmed Ould Beinane( ), Sid Ahmed Ould Ahmed Mahmoud
Mathematics Department, College of Science, Jouf University, Sakaka, P. O. Box 2014, Saudi Arabia
Show Author Information

Abstract

This paper introduces a new class of multivariable operators called (n1,⋯,nm)-hyponormal tuples, which combine joint normal and joint hyponormal operators. A tuple of operators Q=(Q1,⋯,Qm) is said to be an (n1,⋯,nm)-hyponormal tuple for some (n1,⋯,nm)∈Nm if

∑1≤k,l≤m⟨[Qk∗nk,Qlnl]ωk∣ωl⟩≥0,∀(ωk)1≤k≤m∈Km.

We show several properties of this class that correspond to the properties of joint hyponormal operators.

Keywords

Hilbert spacenormal operatorn-hyponormal operatorcommuting tuple of operators
CLC number: 47A13

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 27784-27796
DOI: 10.3934/math.20241349

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Beinane SAO, Mahmoud SAOA. On (n1,⋯,nm)-hyponormal tuples of Hilbert space operators. AIMS Mathematics, 2024, 9(10): 27784-27796. https://doi.org/10.3934/math.20241349

108

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 18 August 2024
Revised: 13 September 2024
Accepted: 18 September 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)