Computing Borel complexity of some geometrical properties in Banach spaces

2024/04/30 by Ginés López-Pérez, López-Pérez, Ginés, Esteban Martínez Vañó +3 · 1 citation
Business, Management and Accounting · Computer Science · Mathematics · #46B20 #54E52 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Optics and Image Analysis

paper · pdf · doi:10.48550/arxiv.2404.19457

openalex publication_date 2024/04/30 · openalex created_date 2024/05/03 · openalex updated_date 2026/08/01

Abstract

We compute the Borel complexity of some classes of Banach spaces such as different versions of diameter two properties, spaces satisfying the Daugavet equation or spaces with an octahedral norm. In most of the above cases our computation is even optimal, which completes the research done during the last years around this topic for isomorphism classes of Banach spaces.

Cited by

• The uniform strong diameter two property

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