Norm-attaining property for a dual pair of Banach spaces
| Autor: | Cheuk-Yin Lee, Chi-Wai Leung |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Mathematics::Functional Analysis Approximation property Applied Mathematics 010102 general mathematics Infinite-dimensional vector function Eberlein–Šmulian theorem Banach space Banach manifold 01 natural sciences 0103 physical sciences Interpolation space 010307 mathematical physics 0101 mathematics Lp space Reflexive space Analysis Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 445:556-563 |
| ISSN: | 0022-247X |
| Popis: | In this study, we introduce the norm-attaining property for a dual pair of Banach spaces. We use this property to determine a quotient Banach space as a dual space. We also apply this property to obtain another proof of the James's characterization theorem regarding the reflexivity of a separable Banach space. In addition, the norm-attaining property of a Fourier space is studied. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect