On weakly extremal structures in Banach spaces

2007/01/02 by Jarno Talponen, Talponen, J. · 1 citation
Computer Science · Mathematics · #46A20 #46B20 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Optimization and Variational Analysis

paper · doi:10.48550/arxiv.math/0701009

openalex publication_date 2007/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with the interplay of the geometry of the norm and the weak topology in Banach spaces. Both dual and intrinsic connections between weak forms of rotundity and smoothness ared discussed. Weakly exposed points, weakly locally uniformly rotund spaces, smoothness, duality and the interplay of all the above are studied.

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