Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614067 | Journal of Mathematical Analysis and Applications | 2017 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Cheuk-Yin Lee, Chi-Wai Leung,