F. Xanthos

activity

20132026

most citedUo-convergence and its applications to Cesàro means in Banach lattices

29 citations · 65 across the 16 of their papers we have counts for

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Showing 2015 · math.FAShow all

2 papers · 2 filters

math.FA2015★ 29 cited

Uo-convergence and its applications to Cesàro means in Banach lattices

Niushan Gao, Vladimir G. Troitsky, Foivos Xanthos

A net $(x_{α})$ in a vector lattice $X$ is said to uo-converge to $x$ if $∣ x_{α} - x ∣ \land u o 0$ for every $u \geq 0$ . In the first part of this paper, we study some func…

math.FA2015

Spaces of regular abstract martingales

Vladimir G. Troitsky, Foivos Xanthos

In \cite{Troitsky:05,Korostenski:08}, the authors introduced and studied the space $M_{r}$ of regular martingales on a vector lattice and the space $M_{r}$ of bounded regular…