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approximation property

   Also found in: Wikipedia 0.03 sec.
approximation property [ə‚präk·sə′mā·shən ‚präp·ərd·ē]
(mathematics)
The property of a Barach space,B, in which compact sets are approxiately finite-dimensional in the sense that, for any compact set,K, continuous linear transformations,L, fromKto finite-dimensional subspaces ofBcan be found with arbitrarily small upper bounds on the norm ofL(x) -xfor all pointsxinK.


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