A Banach space 
is called minimal if every infinite-dimensional subspace 
of 
contains a subspace 
isomorphic to 
. An example of a minimal Banach space is the Banach
space 
of all complex sequences converging to zero (taking the supremum
norm).
Minimal Banach Space
See also
Banach SpaceThis 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.Referenced on Wolfram|Alpha
Minimal Banach SpaceCite this as:
Moslehian, Mohammad Sal. "Minimal Banach Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/MinimalBanachSpace.html