Equivalence of some properties in the theory of Banach algebras and applications

被引：3

作者：

Ben Amara, Khaled ^{[1
]}

Jeribi, Aref ^{[1
]}

Kaddachi, Najib ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Rd Soukra Km 3-5,BP 1171, Sfax 3000, Tunisia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 520卷 / 01期

关键词：

Banach algebras; Fixed point theory; Continuous functions; Measure of weak non-compactness; FIXED-POINT THEOREMS; SEQUENTIALLY CONTINUOUS-MAPPINGS; LERAY-SCHAUDER; EXISTENCE; EQUATIONS; OPERATORS;

D O I：

10.1016/j.jmaa.2022.126865

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we establish a sequential characterization of the notion of relatively weak compactness of Banach algebras introduced recently by J. Banas and L. Olszowy. Moreover, we show that this structure is one of the most important properties which could be lifted from a Banach algebra X to C(K, X) and L1(mu, X). In addition, fixed point theorems for the product of two nonlinear operators acting on RWC-Banach algebra are proved by the help of the De Blasi measure of weak noncompactness.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：16

共 34 条

[1] On a generalization of the Schauder and Krasnosel'skii fixed points theorems on Dunford-Pettis spaces and applications [J].