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arXiv · 1306.6740

The Bishop-Phelps-Bollobás property for operators between spaces of continuous functions

Maria Acosta·Julio Becerra·Yun Sung Choi·Maciej Ciesielski·Sun Kwang Kim·Han Ju Lee·Mary Lilian Lourenço·Miguel Martin
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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-Bollobás 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 $L_1$-space.

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Maria Acosta, Julio Becerra, Yun Sung Choi, Maciej Ciesielski, Sun Kwang Kim, Han Ju Lee, Mary Lilian Lourenço, Miguel Martin. 2013-07-22. The Bishop-Phelps-Bollobás property for operators between spaces of continuous functions. https://arxiv.org/abs/1306.6740

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