Vasily Melnikov

activity

20242026

collaborators

4 papers

math.FA2026

Complemented Copies of $c_{0}$ in Positive Tensor Products of Banach Lattices

Vasily Melnikov

A result of Cembranos states that a non-trivial injective tensor product of a $C$ -space contains a complemented copy of $c_{0}$ , and in particular fails the Grothendieck property.…

math.PR2025

Fatou limits of stochastic integrals

Vasily Melnikov

The convergence of stochastic integrals is essential to stochastic analysis, especially in applications to mathematical finance, where they model the gains associated with a self-f…

math.PR2024

Limit theorems for $I ¨ $ -localized Ãmery convergence

Vasily Melnikov

Given a bounded sequence ${X^{n}}_{n}$ of semimartingales on a time interval $[0, T]$ , we find a sequence of convex combinations ${Y^{n}}_{n}$ and a limiting semimartingale $Y$ …

math.FA2024

Relative weak compactness in infinite-dimensional Fefferman-Meyer duality

Vasily Melnikov

Let $E$ be a Banach space such that $E^{'}$ has the Radon-NikodÃ½m property. The aim of this work is to connect relative weak compactness in the $E$ -valued martingale Hardy space $H^{…

Complemented Copies of c0​ in Positive Tensor Products of Banach Lattices

Fatou limits of stochastic integrals

Limit theorems for I¨-localized Ãmery convergence

Relative weak compactness in infinite-dimensional Fefferman-Meyer duality

Complemented Copies of $c_{0}$ in Positive Tensor Products of Banach Lattices

Limit theorems for $I ¨ $ -localized Ãmery convergence