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arXiv · 2009.02145

Lorentz-Shimogaki-Arazy-Cwikel Theorem Revisited

Léonard Cadilhac·Fedor Sukochev·Dmitriy Zanin
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Abstract

We present a new approach to Lorentz-Shimogaki and Arazy-Cwikel Theorems which covers all range of $p,q\in (0,\infty]$ for function spaces and sequence spaces. As a byproduct, we solve a conjecture of Levitina and the last two authors.

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Léonard Cadilhac, Fedor Sukochev, Dmitriy Zanin. 2020-09-04. Lorentz-Shimogaki-Arazy-Cwikel Theorem Revisited. https://doi.org/10.2140/pjm.2024.328.227

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