Lorentz-Shimogaki-Arazy-Cwikel Theorem Revisited
L\'eonard Cadilhac, Fedor Sukochev, Dmitriy Zanin
TL;DR
This paper introduces a unified approach to Lorentz-Shimogaki and Arazy-Cwikel Theorems, covering all p,q ranges for function and sequence spaces, and resolves a related conjecture.
Contribution
It provides a comprehensive method that extends existing theorems to all p,q ranges and proves a conjecture by Levitina and co-authors.
Findings
Unified framework for Lorentz-Shimogaki and Arazy-Cwikel Theorems
Complete coverage of all p,q ranges in function and sequence spaces
Resolution of a conjecture by Levitina et al.
Abstract
We present a new approach to Lorentz-Shimogaki and Arazy-Cwikel Theorems which covers all range of for function spaces and sequence spaces. As a byproduct, we solve a conjecture of Levitina and the last two authors.
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Harmonic Analysis Research · Holomorphic and Operator Theory