학술논문

On the isometric conjecture of Banach

Document Type

Working Paper

Author

Bor, Gil; Hernández-Lamoneda, Luis; Jiménez-Desantiago, Valentín; Montejano-Peimbert, Luis

Source

Geom. Topol. 25 (2021) 2621-2642

Subject

Mathematics - Metric Geometry
Mathematics - Functional Analysis

Language

Abstract

Let $V$ be a Banach space where for fixed $n$, $1Comment: v2: fused sections 3 and 4; included Remark 3.2 ; restated slightly differently Corollary 3.10; included the proofs of two well known results (Lemmas 2.6 & 2.7); added a reference; corrected a few typos; v3: added a detailed proof of Gromov's group reduction lemma (Lemma 1.5); explicitly stated the fact that a codimension 1 proof implies result in all codimensions; modified abstract and intro

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