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THE BISHOP-PHELPS-BOLLOBAS PROPERTY FOR OPERATORS FROM L-infinity(mu) TO UNIFORMLY CONVEX BANACH SPACES
- Kim, Sun Kwang;
- Lee, Han Ju;
- Lin, Pei-Kee
Citations
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3Citations
SCOPUS
5초록
Let X = L-infinity(mu) and Y be uniformly convex Banach space. We show that the pair (X, Y) has the Bishop-Phelps-Bollobas property for any measure space (Omega, mu). This solves a question raised by Acosta, Aron, Garcia, and Maestre. We also prove that if X is either complex L-infinity (mu) or complex c(0), and Y is complex uniformly convex, then the pair (X, Y) also has the Bishop-Phelps-Bollobas property.
키워드
Banach space; approximation; norm-attaining operators; Bishop-Phelps-Bollobas theorem; NORM ATTAINING OPERATORS; THEOREM; L-1(MU)
- 제목
- THE BISHOP-PHELPS-BOLLOBAS PROPERTY FOR OPERATORS FROM L-infinity(mu) TO UNIFORMLY CONVEX BANACH SPACES
- 저자
- Kim, Sun Kwang; Lee, Han Ju; Lin, Pei-Kee
- 발행일
- 2016-02
- 유형
- Article
- 권
- 17
- 호
- 2
- 페이지
- 243 ~ 249