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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

A new general model version of quasinormal operator based on a fuzzy soft Hilbert domain 

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pp. 1197–1206Vol. 28Issue 3-BApril 2025DOI: 10.47974/JIM-2208XML
Received:
04 Dec 2024
Published Online:
08 May 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2208
Pages:
1197–1206

Abstract

In fuzzy functional analysis, the soft fuzzy Hilbert space is a remarkable space. Compared to soft fuzzy sets, this space is more general and flexible. Most of the challenges in describing the fuzziness of the problem parameters are explained. This offers effective and interesting contributions to the field of operator theory. The idea of the fuzzy soft Hilbert space is useful in proposing a new operator of the general quasi-normal type associated with two parameters. It contains a number of known operators, including the soft quasi-normal operator, the quasi-normal operator, and the normal operator. In addition, the algebraic properties and various accompanying analyses are analyzed and presented. Multiplication and addition are the basic abilities. In addition, the relationships between those categories are also addressed. 

Keywords

Subject Classifications

Primary 46S4047A0547B02Secondary 47B15

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