REFLEXIVITY AND NONWEAKLY NULL MAXIMIZING SEQUENCES

被引：6

作者：

Aron, Richard M. ^{[1
]}

Garcia, Domingo ^{[2
]}

Pellegrino, Daniel ^{[3
]}

Teixeira, Eduardo, V ^{[4
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Univ Valencia, Dept Anal Matemat, Doctor Moliner 50, Burjassot 46100, Valencia, Spain

[3] Univ Fed Paraiba, Dept Matemat, Joao Pessoa, Paraiba, Brazil

[4] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 02期

关键词：

Maximizing sequence; norm attaining; Banach space; NORM; OPERATORS; OPTIMIZATION;

D O I：

10.1090/proc/14728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and explore a new property related to reflexivity that plays an important role in the characterization of norm attaining operators. We also present an application to the theory of compact perturbations of linear operators and characterize norm attaining scalar-valued continuous 2-homogeneous polynomials on l(2).

引用

页码：741 / 750

页数：10

共 23 条

[1] A characterization of reflexive spaces [J].