On weakly sequentially complete Banach spaces

2016/02/15 by Ewa M. Bednarczuk, E. M. Bednarczuk, Bednarczuk, E. M. +3
Computer Science · Mathematics · #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.FA #math.OC

paper · pdf · doi:10.48550/arxiv.1602.04718

13 pages

arxiv created 2016/02/15 · openalex publication_date 2016/02/15 · arxiv updated 2016/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide sufficient conditions for a Banach space Y to be weakly sequentially complete. These conditions are expressed in terms of the existence of directional derivatives for cone convex mappings with values in Y .

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