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arXiv:2404.01419 [math.FA]AbstractReferencesReviewsResources

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

Stephen Dilworth, Denka Kutzarova, Pavlos Motakis

Published 2024-04-01Version 1

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.

Categories: math.FA
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