Computing the complexity of the relation of isometry between separable Banach spaces

2005/11/17 by Julien Melleray, Melleray, Julien
Computer Science · Mathematics · #03E15 #Advanced Algebra and Logic #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.math/0511456

openalex publication_date 2005/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute here the Borel complexity of the relation of isometry between separable Banach spaces, using results of Gao, Kechris and Weaver.

Related

• Computing Borel complexity of some geometrical properties in Banach spaces
• Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces
• On the complexity of the uniform homeomorphism relation between separable Banach spaces
• Polish spaces of Banach spaces. Complexity of isometry and isomorphism classes
• On the complexity of classifying Lebesgue spaces