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The Bishop-Phelps-Bollobas property for operators between spaces of continuous functions
- Acosta, Maria D.;
- Becerra-Guerrero, Julio;
- Choi, Yun Sung;
- Ciesielski, Maciej;
- Kim, Sun Kwang;
- ... Lee, Han Ju;
- 외 2명
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18초록
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.
키워드
Banach space; Optimization; Norm-attaining operators; Bishop-Phelps theorem; Bishop-Phelps-Bollobas theorem; BANACH-SPACES; THEOREM; L1
- 제목
- The Bishop-Phelps-Bollobas property for operators between spaces of continuous functions
- 저자
- Acosta, Maria D.; Becerra-Guerrero, Julio; Choi, Yun Sung; Ciesielski, Maciej; Kim, Sun Kwang; Lee, Han Ju; Lourenco, Mary Lilian; Martin, Miguel
- 발행일
- 2014-01
- 유형
- Article
- 권
- 95
- 페이지
- 323 ~ 332