Vasily Melnikov

activity

20242026

collaborators

3 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 $σ$ -localized Émery 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 $Y$ …

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

Fatou limits of stochastic integrals

Limit theorems for σ-localized Émery convergence

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

Limit theorems for $σ$ -localized Émery convergence