A note on uniform or Banach density

Grekos, Georges; Toma, Vladimír; Tomanová, Jana

doi:10.5802/ambp.280

Grekos, Georges ¹ ; Toma, Vladimír ² ; Tomanová, Jana ³

¹ Department of Mathematics Université de Saint-Etienne 23, rue du Docteur Paul Michelon F-42023 Saint-Etienne Cédex 2 France
² Department of Mathematical and Numerical Analysis Comenius University Mlynská dolina 842 48 Bratislava Slovakia
³ Department of Algebra and Number Theory Comenius University Mlynská dolina 842 48 Bratislava Slovakia

Annales mathématiques Blaise Pascal, Tome 17 (2010) no. 1, pp. 153-163.

Résumé

In this note we present and comment three equivalent definitions of the so called uniform or Banach density of a set of positive integers.

EuDML MR Zbl

DOI : 10.5802/ambp.280

Classification : 11B05
Mots-clés : Banach density, uniform density

Affiliations des auteurs :

Grekos, Georges ¹ ; Toma, Vladimír ² ; Tomanová, Jana ³

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     title = {A note on uniform or {Banach} density},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {153--163},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {17},
     number = {1},
     year = {2010},
     doi = {10.5802/ambp.280},
     mrnumber = {2674656},
     zbl = {1239.11012},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/ambp.280/}
}

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Grekos, Georges; Toma, Vladimír; Tomanová, Jana. A note on uniform or Banach density. Annales mathématiques Blaise Pascal, Tome 17 (2010) no. 1, pp. 153-163. doi : 10.5802/ambp.280. http://www.numdam.org/articles/10.5802/ambp.280/

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