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Cited 17 time in webofscience Cited 18 time in scopus
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The Bishop-Phelps-Bollobas property for operators between spaces of continuous functions

Authors
Acosta, Maria D.Becerra-Guerrero, JulioChoi, Yun SungCiesielski, MaciejKim, Sun KwangLee, Han JuLourenco, Mary LilianMartin, Miguel
Issue Date
Jan-2014
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Keywords
Banach space; Optimization; Norm-attaining operators; Bishop-Phelps theorem; Bishop-Phelps-Bollobas theorem
Citation
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.95, pp 323 - 332
Pages
10
Indexed
SCI
SCIE
SCOPUS
Journal Title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume
95
Start Page
323
End Page
332
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/23629
DOI
10.1016/j.na.2013.09.011
ISSN
0362-546X
1873-5215
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.
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