Banach Limit

A Banach limit is a bounded linear functional on the space of complex bounded sequences that satisfies and $f({a_(n+1)})=f({a_n})$ for all ${a_n} in ł^infty$ .

This entry contributed by Mohammad Sal Moslehian

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References

Conway, J. A Course in Functional Analysis. New York: Springer-Verlag, 1990.Feldman, M. and Gilles, C. "An Expository Note on Individual Risk Without Aggregate Uncertainty." J. Econ. Theory 35, 26-32, 1985.

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Banach Limit

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Moslehian, Mohammad Sal. "Banach Limit." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/BanachLimit.html

Banach Limit

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References

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