2005/09/29 by Javier H. Guachalla, Guachalla, Javier H.
Computer Science · Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA
paper · pdf · doi:10.48550/arxiv.math/0509683
3 pages. Minor gramatical change
arxiv created 2005/09/29 · openalex publication_date 2005/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a Banach space. We show that its three times dual space can be written as a direct sum. Then being one of the sumands null is a necessary and sufficient condition for the dual space to be reflexive. We end with an application of this result to the known relationship between the reflexivity of a Banach space and that of its dual space.