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 (230.3 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

Higher order hyperexpansivity and higher order hypercontractivity

Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia
Show Author Information

Abstract

As a natural extension of the concept of ( m , p )-hyperexpansive and ( m , p )-hypercontractive of a single operator, we introduce and study the concepts of ( m , p )-hyperexpansivity and ( m , p )-hypercontractivity for d-tuple of commuting operators acting on Banach spaces. These concepts extend the definitions of m-isometries and ( m , p )-isometric tuples of bounded linear operators acting on Hilbert or Banach spaces, which have been introduced and studied by many authors.

Keywords

m-isometric tuple(m, p)-isometric tupleexpansive operatorcontractive operator
CLC number: 47B15, 47B20, 47A15

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 27227-27240
DOI: 10.3934/math.20231393

{{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:
Alshammari HO. Higher order hyperexpansivity and higher order hypercontractivity. AIMS Mathematics, 2023, 8(11): 27227-27240. https://doi.org/10.3934/math.20231393

66

Views

2

Downloads

1

Crossref

1

Web of Science

1

Scopus
Received: 06 May 2023
Revised: 11 September 2023
Accepted: 17 September 2023
Published: 15 November 2023
©2023 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)