Stability results of properties related to the Bishop-Phelps-Bollobás property for operators

作     者：Maria D.Acosta Maryam Soleimani-Mourchehkhorti María D.Acosta;Maryam Soleimani-Mourchehkhorti

作者机构：Facultad de CienciasDepartamento de Analisis MatematicoUniversidad de GranadaGranada 18071Spain School of MathematicsInstitute for Research in Fundamental Sciences(IPM)Tehran 19395-5746Iran 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2021年第64卷第5期

页      面：1011-1028页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Ministerio de Ciencia,Innovación y Universidades,Agencia Estatal de Investigación y Fondo europeo de desarrollo Regional,European Union(Grant No.PGC2018093794-B-I00) Junta de Andalucía y Fondo europeo de desarrollo Regional,European Union(Grant No.FQM-185) supported by a grant from Institute for Research in Fundamental Sciences(IPM) 

主　　题：Banach space operator Bishop-Phelps-Bollobás theorem Bishop-Phelps-Bollobás property 

摘      要：We prove that the class of Banach spaces Y such that the pair(l_(1),Y)has the Bishop-Phelps-Bollobás property for operators is stable under finite products when the norm of the product is given by an absolute *** also provide examples showing that the previous stability results obtained for that property are optimal.