Minimal Banach Space

A Banach space X is called minimal if every infinite-dimensional subspace Y of X contains a subspace Z isomorphic to X. An example of a minimal Banach space is the Banach space c_ degrees of all complex sequences converging to zero (taking the supremum norm).

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This entry contributed by Mohammad Sal Moslehian

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References

Johnson, W. B. and Lindenstrauss, J. (Eds.). Handbook of the Geometry of Banach Spaces, Vol. 1. Amsterdam, Netherlands: North-Holland, 2001.

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Minimal Banach Space

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

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