The zoo of combinatorial Banach spaces

We study Banach spaces induced by families of finite sets in the most natural (Schreier-like) way, that is, we consider the completion $X_\mathcal {F}$ of $c_{00}$ with respect to the norm $\sup \{\sum _{k\in F}|x(k)|:F\in \mathcal F\}$ where $\mathca

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Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm240407-14-1
Citations
1
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
3.69

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article

The zoo of combinatorial Banach spaces

Barnabás Farkas, Anna Pelczar‐Barwacz, Sebastian Jachimek, Piotr Borodulin–Nadzieja
1 citations
Studia Mathematica
Advanced Banach Space Theory
3.69
article

The zoo of combinatorial Banach spaces

Barnabás Farkas, Anna Pelczar‐Barwacz, Sebastian Jachimek, Piotr Borodulin–Nadzieja
article en
1 citations

Abstract

We study Banach spaces induced by families of finite sets in the most natural (Schreier-like) way, that is, we consider the completion $X_\mathcal {F}$ of $c_{00}$ with respect to the norm $\sup \{\sum _{k\in F}|x(k)|:F\in \mathcal F\}$ where $\mathca

Studia MathematicaVol. 282(2)
Jagiellonian University (PL), University of Wrocław (PL), Institute of Mathematics (PL), Tgm (AT)
Austrian Science Fund, Narodowym Centrum Nauki
Openalex Percentile: Top 10%
Advanced Banach Space Theory
3.69
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