A simple, combinatorial proof of Gowers Dichotomy for Banach Spaces

Autor:	Frankiewicz, Ryszard, Kusiński, Sławomir
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis Mathematics - Combinatorics 46B15 (primary) 05D10 03E05 (secondary)
Druh dokumentu:	Working Paper
Popis:	In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensional Banach Space has a subspace which either contains an unconditional basic sequence or is hereditarily indecomposable. Our approach is purely combinatorial and mainly based on work of Ellentuck, Galvin and Prikry in infinite Ramsey theory.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.10728 Zobrazit plný text záznamu View this record from Arxiv