$ n $-quasi-$ A $-$ (m, q) $-isometry on a Banach space-Reference-Cited by-同舟云学术

$ n $-quasi-$ A $-$ (m, q) $-isometry on a Banach space

Published:2023 Issue:12 Volume:8 Page:28308-28321
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Gherairi Khadija¹,Hajjej Zayd²,Li Haiyan³,Regeiba Hedi¹

Affiliation:

1. Laboratory of Mathematics and Applications, College of Sciencs, Gabes University, Tunisia

2. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

3. College of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China

Abstract

<abstract><p>In this paper, we introduce the class of $ n $-quasi-$ A $-$ (m, q) $-isometry operators on a Banach space $ X $, which represents a generalization of the $ n $-quasi-$ (m, q) $-isometry on a Banach space and the $ n $-quasi-$ (A, m) $-isometry on a Hilbert space. After giving some basic properties of this class of operators, we study the product and the power of such operators in this class.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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