Geodesic
A note on uniform or Banach density
Grekos, Georges1  ; Toma, Vladimír2 ; Tomanová, Jana3
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 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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

DOI : 10.5802/ambp.280
Classification : 11B05
Keywords: Banach density, uniform density

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 
@article{AMBP_2010__17_1_153_0,
     author = {Grekos, Georges and Toma, Vladim{\'\i}r and Tomanov\'a, Jana},
     title = {A note on uniform or {Banach} density},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {153--163},
     year = {2010},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {17},
     number = {1},
     doi = {10.5802/ambp.280},
     mrnumber = {2674656},
     zbl = {1239.11012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/ambp.280/}
}
TY  - JOUR
AU  - Grekos, Georges
AU  - Toma, Vladimír
AU  - Tomanová, Jana
TI  - A note on uniform or Banach density
JO  - Annales mathématiques Blaise Pascal
PY  - 2010
SP  - 153
EP  - 163
VL  - 17
IS  - 1
PB  - Annales mathématiques Blaise Pascal
UR  - http://geodesic.mathdoc.fr/articles/10.5802/ambp.280/
DO  - 10.5802/ambp.280
LA  - en
ID  - AMBP_2010__17_1_153_0
ER  - 
%0 Journal Article
%A Grekos, Georges
%A Toma, Vladimír
%A Tomanová, Jana
%T A note on uniform or Banach density
%J Annales mathématiques Blaise Pascal
%D 2010
%P 153-163
%V 17
%N 1
%I Annales mathématiques Blaise Pascal
%U http://geodesic.mathdoc.fr/articles/10.5802/ambp.280/
%R 10.5802/ambp.280
%G en
%F AMBP_2010__17_1_153_0
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

Cité par Sources :