The Bishop-Phelps-Bollob\'as property for operators between spaces of continuous functions
Functional Analysis
2013-07-23 v2
Abstract
We show that the space of bounded and linear operators between spaces of continuous functions on compact Hausdorff topological spaces has the Bishop-Phelps-Bollob\'as property. A similar result is also proved for the class of compact operators from the space of continuous functions vanishing at infinity on a locally compact and Hausdorff topological space into a uniformly convex space, and for the class of compact operators from a Banach space into a predual of an -space.
Keywords
Cite
@article{arxiv.1306.6740,
title = {The Bishop-Phelps-Bollob\'as property for operators between spaces of continuous functions},
author = {Maria Acosta and Julio Becerra and Yun Sung Choi and Maciej Ciesielski and Sun Kwang Kim and Han Ju Lee and Mary Lilian Lourenço and Miguel Martin},
journal= {arXiv preprint arXiv:1306.6740},
year = {2013}
}
Comments
12 pages