Tight-minimal dichotomies in Banach spaces

We extend the methods used by V. Ferenczi and Ch. Rosendal to obtain the “third dichotomy” in the program of classification of Banach spaces up to subspaces, in order to prove that a Banach space $E$ with an admissible system of blocks $(\mathcal D_E, \ma

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Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm231219-14-1
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Tight-minimal dichotomies in Banach spaces

Valentin Ferenczi, Alejandra C. Cáceres-Rigo
Studia Mathematica
Advanced Banach Space Theory
article

Tight-minimal dichotomies in Banach spaces

Valentin Ferenczi, Alejandra C. Cáceres-Rigo
article en

Abstract

We extend the methods used by V. Ferenczi and Ch. Rosendal to obtain the “third dichotomy” in the program of classification of Banach spaces up to subspaces, in order to prove that a Banach space $E$ with an admissible system of blocks $(\mathcal D_E, \ma

Studia MathematicaVol. 281(3)
Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR), Sorbonne Université (FR), Brazilian Society of Computational and Applied Mathematics (BR)
Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico
Openalex Percentile: Top 88%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
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