Article ID Journal Published Year Pages File Type
4614067 Journal of Mathematical Analysis and Applications 2017 8 Pages PDF
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
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