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

• 作者: María D.Acosta Maryam Soleimani-Mourchehkhorti
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2021,（5）
• 所属期刊栏目: Articles
• 页码范围: 1011-1028
• 页数: 18页
• 语种: 英文

摘要

We prove that the class of Banach spaces Y such that the pair (l1,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 norm.We also provide examples showing that the previous stability results obtained for that property are optimal.