Dmitriy Zanin

collaborators

2 papers

math.FA2026

Lack of isomorphic embedding from Lorentz function spaces into Lorentz operator ideals

Jinghao Huang, Fedor Sukochev, Dmitriy Zanin

In the present paper, we study the existence of isomorphic embeddings from Lorentz function spaces $L_{p_{1}, q_{1}}$ into Lorentz ideals $C_{p_{2}, q_{2}}$ in $B (H) .$ In particula…

math.OA2026

Isometric embeddings of noncommutative $L_{p}$ -spaces into noncommutative symmetric spaces

Jinghao Huang, Marius Junge, Fedor Sukochev +1

We establish a noncommutative version of a familiar Johnson--Maurey--Schechtman--Tzafriri Theorem, by showing that for any $0 < p < 2$ and a (not necessarily semifinite) von Neumann a…

Lack of isomorphic embedding from Lorentz function spaces into Lorentz operator ideals

Isometric embeddings of noncommutative Lp​-spaces into noncommutative symmetric spaces

Isometric embeddings of noncommutative $L_{p}$ -spaces into noncommutative symmetric spaces