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 (595.5 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

The norm of continuous linear operator between two fuzzy quasi-normed spaces

Han Wang1, Jianrong Wu2( )
College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China
Show Author Information

Abstract

In this paper, firstly, we introduce the concepts of continuity and boundedness of linear operators between two fuzzy quasi-normed spaces with general continuous t-norms, prove the equivalence of them, and point out that the set of all continuous linear operators forms a convex cone. Secondly, we establish the family of star quasi-seminorms on the cone of continuous linear operators, and construct a fuzzy quasi-norm of a continuous linear operator.

Keywords

fuzzy quasi-normcontinuous linear operatorbounded linear operatorfamily of star quasi-seminormsfuzzy functional analysis
CLC number: 46B28, 46S40

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 11759-11771
DOI: 10.3934/math.2022655

{{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:
Wang H, Wu J. The norm of continuous linear operator between two fuzzy quasi-normed spaces. AIMS Mathematics, 2022, 7(7): 11759-11771. https://doi.org/10.3934/math.2022655

7

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 31 December 2021
Revised: 16 March 2022
Accepted: 17 March 2022
Published: 15 July 2022
©2022 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)