The Bishop-Phelps-Bollobas property for operators ... - BV FAPESP
Advanced search
Start date
Betweenand
(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

Full text
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