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arXiv · 2404.01419

$2$-rotund norms for unconditional and symmetric sequence spaces

Stephen Dilworth·Denka Kutzarova·Pavlos Motakis
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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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Stephen Dilworth, Denka Kutzarova, Pavlos Motakis. 2024-04-01. $2$-rotund norms for unconditional and symmetric sequence spaces. https://arxiv.org/abs/2404.01419

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