Orthogonality in locally convex spaces: Two nonlinear generalizations of Neumann's lemma

被引：3

作者：

Barbagallo, Annamaria ^{[1
]}

Ernst, Octavian-Emil ^{[2
]}

Thera, Michel ^{[3
,4
]}

机构：

[1] Univ Naples Federico II, Dept Math & Applicat R Caccioppoli, Via Cinthia,Complesso Univ Monte St Angelo, I-80126 Naples, Italy

[2] Aix Marseille Univ, CNRS, Cent Marseille, I2M, Marseille, France

[3] Univ Limoges, Lab XLIM, CNRS, UMR 6172, Limoges, France

[4] Federat Univ, Ctr Informat & Appl Optimizat, Ballarat, Vic, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 484卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Campanato nearness; Neumann lemma; Birkhoff-James orthogonality; Soderlind-Campanato lemma; Casazza-Christenses lemma; Birkhoff-Kakutani-Day-James theorem; OPERATORS;

D O I：

10.1016/j.jmaa.2019.123663

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove a symmetric version of the Neumann lemma as well as a symmetric version of the Soderlind-Campanato lemma. We establish in this way two partial generalizations of the well-known Casazza-Christenses lemma. This work is related to the Birkhoff-James orthogonality and to the concept of near operators introduced by S. Campanato. (C) 2019 Published by Elsevier Inc.

引用

页数：18

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