Symmetric Banach sequence spaces respect Weyl submajorization

Sukochev, Fedor; Zanin, Dmitriy

doi:10.1090/proc/15791

Symmetric Banach sequence spaces respect Weyl submajorization
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by Fedor Sukochev and Dmitriy Zanin;

Proc. Amer. Math. Soc. 151 (2023), 2907-2917

DOI: https://doi.org/10.1090/proc/15791

Published electronically: April 13, 2023

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Abstract:

Let $E$ be a symmetric Banach sequence space. We show that there exists an equivalent symmetric norm on $E$ which is monotone with respect to the Weyl (i.e., logarithmic) submajorization. Surprisingly, this purely commutative result is proved by a very non-commutative method.

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