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

Abstract

We prove that the class of Banach spaces $Y$ such that the pair $({\ell }_1,Y)$ has the Bishop-Phelps-Bollobás property for operators is stable under finite products when the norm of the product is given by an absolute norm. We also provide examples showing that previous stability results obtained for that property are optimal.

24 pages

References in corpus (2)

• The version for compact operators of Lindenstrauss properties A and B
• The Bishop-Phelps-Bollobás and approximate hyperplane series properties