A note on uniform or Banach density

Georges Grekos[1]; Vladimír Toma[2]; Jana Tomanová[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 (2010)

  • Volume: 17, Issue: 1, page 153-163
  • ISSN: 1259-1734

Abstract

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

How to cite

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Grekos, Georges, Toma, Vladimír, and Tomanová, Jana. "A note on uniform or Banach density." Annales mathématiques Blaise Pascal 17.1 (2010): 153-163. <http://eudml.org/doc/116345>.

@article{Grekos2010,
abstract = {In this note we present and comment three equivalent definitions of the so called uniform or Banach density of a set of positive integers.},
affiliation = {Department of Mathematics Université de Saint-Etienne 23, rue du Docteur Paul Michelon F-42023 Saint-Etienne Cédex 2 France; Department of Mathematical and Numerical Analysis Comenius University Mlynská dolina 842 48 Bratislava Slovakia; Department of Algebra and Number Theory Comenius University Mlynská dolina 842 48 Bratislava Slovakia},
author = {Grekos, Georges, Toma, Vladimír, Tomanová, Jana},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Banach density; uniform density},
language = {eng},
month = {1},
number = {1},
pages = {153-163},
publisher = {Annales mathématiques Blaise Pascal},
title = {A note on uniform or Banach density},
url = {http://eudml.org/doc/116345},
volume = {17},
year = {2010},
}

TY - JOUR
AU - Grekos, Georges
AU - Toma, Vladimír
AU - Tomanová, Jana
TI - A note on uniform or Banach density
JO - Annales mathématiques Blaise Pascal
DA - 2010/1//
PB - Annales mathématiques Blaise Pascal
VL - 17
IS - 1
SP - 153
EP - 163
AB - In this note we present and comment three equivalent definitions of the so called uniform or Banach density of a set of positive integers.
LA - eng
KW - Banach density; uniform density
UR - http://eudml.org/doc/116345
ER -

References

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