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Mathematics (CMC)

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We present an overview of some results about characterization of compactness in which the concept of approximation scheme has had a role. In particular, we present several results that were proved by the second author, jointly with Luther, a decade ago, when these authors were working on a very general theory of approximation spaces. We then introduce and show the basic properties of a new concept of compactness, which was studied by the first author in the eighties, by using a generalized concept of approximation scheme and its associated Kolmogorov numbers, which generalizes the classical concept of compactness.


Papers presented at the First Conference of Classical and Functional Analysis in Azuga – Romania on 28-29 sept. 2013. The final version published by Transilvania University Press.

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© 2014 Asuman G. Aksoy, Jose M. Almira

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