Antonio Aviles Lopez, Bernardo Cascales Salinas, Vladimir Kadets, Alexander Leonov, “The Schur <nobr>$\ell_1$</nobr> theorem for filters”, Zh. Mat. Fiz. Anal. Geom., 2007, Volume 3, Number 4,Pages <nobr>383

This article is cited in 16 papers

The Schur $\ell_1$ theorem for filters

Antonio Aviles Lopez^a, Bernardo Cascales Salinas^b, Vladimir Kadets^c, Alexander Leonov^c

^a Equipe de Logique Mathématique UFR de Mathématiques (case 7012), Université Denis-Diderot Paris, 72 place Jussieu, 75251 Paris Cedex 05, France
^b Departamento de Matemсticas, Universidad de Murcia, 30100 Espinardo, Murcia, Spain
^c Department of Mathematics and Mechanics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Key words and phrases: Schur $\ell_1$ theorem, weak sequential completeness, filter convergence, filter, statistical convergence.

MSC: 46B25, 54A20

Received: 16.01.2007

Language: English