The Bishop-Phelps-Bollobas property for operators between spaces of continuous functions
- Authors
- Acosta, Maria D.; Becerra-Guerrero, Julio; Choi, Yun Sung; Ciesielski, Maciej; Kim, Sun Kwang; Lee, Han Ju; Lourenco, Mary Lilian; Martin, 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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Collections - College of Education > Department of Mathematics Education > 1. Journal Articles

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