The Bishop-Phelps-Bollobas theorem for operators on L-1(mu)
SCIE
SCOPUS
- Title
- The Bishop-Phelps-Bollobas theorem for operators on L-1(mu)
- Authors
- Choi, YS; Sun Kwang Kim; Han Ju Lee; Miguel Martin
- Date Issued
- 2014-07-01
- Publisher
- Academic Press
- Abstract
- In this paper we show that the Bishop-Phelps-Bollobas theorem holds for L(L-1(mu), L-1(v)) for all measures and v and also holds for L(L-1(mu), L-infinity(nu)) for every arbitrary measure mu and every localizable measure nu Finally, we show that the Bishop-Phelps-Bollobas theorem holds for two classes of bounded linear operators from a real L-1(mu) into a real C(K) if mu is a finite measure and K is a compact Hausdorff space. In particular, one of the classes includes all Bochner representable operators and all weakly compact operators. (c) 2014 Elsevier Inc. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27305
- DOI
- 10.1016/J.JFA.2014.04.008
- ISSN
- 0022-1236
- Article Type
- Article
- Citation
- Journal of Functional Analysis, vol. 267, no. 1, page. 214 - 242, 2014-07-01
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