D. Zanin

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20242026

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4 papers · 1 filter

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.OA2024

A $C^{*}$ -Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds

David Farrell, Fedor Sukochev, Fulin Yang +1

From the viewpoint of $*$ -homomorphism on $C^{*}$ -algebras, we establish the principal symbol mapping for filtered manifolds which are locally isomorphic to stratified Lie groups.…

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.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

A C∗-Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds

Diagonality modulo symmetric spaces in semifinite von Neumann algebras

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

A $C^{*}$ -Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds

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