The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B
The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B
We study a Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B. For domain spaces, we study Banach spaces $X$ such that $(X,Y)$ has the Bishop-Phelps-Bollobás property (BPBp) for every Banach space $Y$. We show that in this case, there exists a universal function $\eta _X(\varepsilon )$ such that for every …