Norming points and critical points
SCIE
SCOPUS
- Title
- Norming points and critical points
- Authors
- Cho, DH; Choi, YS
- Date Issued
- 2017-01
- Publisher
- Elsevier
- Abstract
- Using a diffeomorphism between the unit sphere and a closed hyperplane of an infinite dimensional Banach space, we introduce the differentiation of a function defined on the unit sphere, and show that a continuous linear functional attains its norm if and only if it has a critical point on the unit sphere. Furthermore, we provide a strong version of the Bishop-Phelps-BollobAs theorem for a Lipschitz smooth Banach space.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/37274
- DOI
- 10.1016/J.JMAA.2016.02.030
- ISSN
- 0022-247X
- Article Type
- Article
- Citation
- Journal of Mathematical Analysis and Applications, vol. 445, page. 1284 - 1290, 2017-01
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- There are no files associated with this item.
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