The Bishop-Phelps-Bollobás property for operators defined on \(c_0\)-sum of Euclidean spaces

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2025-02-24 DOI:10.1007/s10476-025-00070-z

T. Grando, M. L. Lourenço

引用次数: 0

Abstract

The main purpose of this paper is to study the Bishop-Phelps-Bollobás property for operators on \(c_0\)-sum of Euclidean spaces. We show that the pair \( (c_0(\bigoplus^{\infty}_{k=1}\ell^{k}_{2} ),Y)\) has the Bishop-Phelps-Bollobás property for operators (shortly BPBp for operators) whenever \(Y\) is a uniformly convex Banach space.

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在\(c_0\) -欧氏空间和上定义的算子的Bishop-Phelps-Bollobás性质

本文的主要目的是研究欧几里德空间\(c_0\) -和上算子的Bishop-Phelps-Bollobás性质。我们证明了当\(Y\)是一致凸巴拿赫空间时，对\( (c_0(\bigoplus^{\infty}_{k=1}\ell^{k}_{2} ),Y)\)具有对算子的Bishop-Phelps-Bollobás属性（简称为BPBp）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.