Lorentz-Shimogaki-Arazy-Cwikel Theorem Revisited

Léonard Cadilhac, Fedor Sukochev, Dmitriy Zanin

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 s…