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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Acosta, Maria D. [1] ; Becerra-Guerrero, Julio [1] ; Choi, Yun Sung [2] ; Ciesielski, Maciej [3] ; Kim, Sun Kwang [4] ; Lee, Han Ju [5] ; Lourenco, Mary Lilian [6] ; Martin, Miguel [1]
Total Authors: 8
Affiliation:
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada - Spain
[2] POSTECH, Dept Math, Pohang 790784 - South Korea
[3] Poznan Univ Tech, PL-60965 Poznan - Poland
[4] Korea Inst Adv Study, Sch Math, Seoul 130722 - South Korea
[5] Dongguk Univ Seoul, Dept Math Educ, Seoul 100715 - South Korea
[6] Univ Sao Paulo, Inst Matemat & Estat, BR-05311970 Sao Paulo - Brazil
Total Affiliations: 6
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 95, p. 323-332, JAN 2014.
Web of Science Citations: 10
Abstract

We show that the space of bounded linear operators between spaces of continuous functions on compact Hausdorff topological spaces has the Bishop-Phelps-Bollobas 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. (C) 2013 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 12/01015-9 - Polynomials and holomorphic functions in Banach spaces
Grantee:Mary Lilian Lourenco
Support Opportunities: Regular Research Grants