Banach spaces without minimal subspaces - examples

2011/04/25 by Valentin Ferenczi, Ferenczi, Valentin, Christian Rosendal +1
Mathematics · #03E15 #46B03 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1104.4724

openalex publication_date 2011/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in the previous paper Banach spaces without minimal subspaces, by classifying them according to which side of the dichotomies they fall. This paper may be seen as a more empirical continuation of Banach spaces without minimal subspaces, in which our stress is on the study of examples for the new classes of Banach spaces considered in that work.

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