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

Explore with Wolfram|Alpha

More things to try:

.1234 with the last 2 digits repeating
continued fraction 12/67
inv {{10, -9, -12}, {7, -12, 11}, {-10, 10, 3}}

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.

Referenced on Wolfram|Alpha

Banach Limit

Cite this as:

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

Banach Limit

Explore with Wolfram|Alpha

References

Referenced on Wolfram|Alpha

Cite this as:

Subject classifications