A Banach space 
has the approximation property (AP) if, for every 
and each compact subset 
of 
, there is a finite rank operator 
in 
such that for each 
, 
.
Approximation Property
See also
Approximation Problem, Bounded Approximation PropertyThis 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
Approximation PropertyCite this as:
Moslehian, Mohammad Sal. "Approximation Property." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ApproximationProperty.html