The Banach density of a set of integers exists when its upper Banach density
and lower Banach density
are equal. Their common value is
denoted
(Richard and Schumacher 2020).
Banach Density
See also
Lower Banach Density, Natural Density, Upper Banach DensityPortions of this entry contributed by Kevin O'Bryant
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References
Richard, C. and Schumacher, C. "On Sampling and Interpolation by Model Sets." J. Fourier Anal. Appl. 26, #39, 2020. https://doi.org/10.1007/s00041-020-09742-w.Referenced on Wolfram|Alpha
Banach DensityCite this as:
Weisstein, Eric W., with contributions by Kevin O'Bryant. "Banach Density." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BanachDensity.html