|Sunday 21 October 2018|
|Events for day: Wednesday 15 August 2018|
| 12:00 - 13:15 Analysis Seminar|
Norm Attaining Operators and BPB Property on Banach Spaces
We study the Bishop-Phelps-Bollobas property for operators and Bishop-Phelps-Bollobas property for numerical radius of operators. Firstly sufficient conditions are given for generalized direct sums of Banach spaces with respect to a uniformly monotone Banach sequence lattice to have the approximate hyperplane series property. This result implies that Bishop-Phelps-Bollobas theorem holds for operators from $l_1$ into such direct sums of Banach spaces. We also show that the direct sum of two spaces with the approximate hyperplane series property has such property whenever the norm of the directed sum is absolute. Secondly we introduce the n ...