2-rotund norms for unconditional and symmetric sequence spaces

2024/04/01 by S. J. Dilworth, Dilworth, Stephen, Denka Kutzarova +3
Mathematics · #Approximation Theory and Sequence Spaces #Advanced Banach Space Theory #Fixed Point Theorems Analysis

paper · pdf · doi:10.48550/arxiv.2404.01419

Abstract

A reflexive Banach space with an unconditional basis admits an equivalent 1-unconditional 2R norm and embeds into a reflexive space with a 1-symmetric 2R norm. Partial results on 1-symmetric 2R renormings of spaces with a symmetric basis are obtained.

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