Vasily Melnikov

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20242026

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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.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

Relative weak compactness in infinite-dimensional Fefferman-Meyer duality

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