F. Sukochev

collaborators

5 papers

math.OA2024

Kuroda's theorem for $n$ -tuples in semifinite von Neumann algebras

Aleksey Ber, Fedor Sukochev, Dmitriy Zanin +1

Let $M$ be a semifinite von Neumann algebra and let $E$ be a symmetric function space on $(0, \infty)$ . Denote by $E (M)$ the non-commutative symmetric space of m…

math.FA2024

Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus

Fedor Sukochev, Fulin Yang, Dmitriy Zanin

Let $E (T_{I^}^{d} ¸), F (T_{I^}^{d} ¸)$ be two symmetric operator spaces on noncommutative torus $T_{I^}^{d} ¸$ corresponding to symmetric function spaces $E, F$ on $(0…

math.OA2024

Diagonality modulo symmetric spaces in semifinite von Neumann algebras

Aleksey Ber, Fedor Sukochev, Dmitriy Zanin +1

In the study on the diagonality of an $n$ -tuple $I^\pm = (I^\pm (j))_{j = 1}^{n}$ of commuting self-adjoint operators modulo a given $n$ -tuple $I^¦ = (J_{1}, \dots, J_{n})$ of norme…

math.FA2024

Endpoint Schatten class properties of commutators

Rupert L. Frank, Fedor Sukochev, Dmitriy Zanin

We study trace ideal properties of the commutators $[(- I^)^{\frac{I ^}{µ} 2}, M_{f}]$ of a power of the Laplacian with the multiplication operator by a function $f$ on $R^{d}$ . For a…

math.OA2024

Lack of isomorphic embeddings of $ℓ_{p, q}$ into $L_{p, q} (M, I ¨ )$ over a noncommutative probability space

Jinghao Huang, Olga Sadovskaya, Fedor Sukochev +1

We prove that the sequence space $ℓ_{p, q}$ does not embed into $L_{p, q} (M, I ¨ )$ for any noncommutative probability space $(M, I ¨ )$ , $1 < p < \infty$ , $1\le q<\in…

Kuroda's theorem for n-tuples in semifinite von Neumann algebras

Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus

Diagonality modulo symmetric spaces in semifinite von Neumann algebras

Endpoint Schatten class properties of commutators

Lack of isomorphic embeddings of ℓp,q​ into Lp,q​(M,I¨) over a noncommutative probability space

Kuroda's theorem for $n$ -tuples in semifinite von Neumann algebras

Lack of isomorphic embeddings of $ℓ_{p, q}$ into $L_{p, q} (M, I ¨ )$ over a noncommutative probability space