Functional characterization of best and good approximation in normed product spaces.

Carlos Benítez; Manuel Fernández

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Displaying similar documents to “Functional characterization of best and good approximation in normed product spaces.”

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In this article, the separability of real normed spaces and its properties are mainly formalized. In the first section, it is proved that a real normed subspace is separable if it is generated by a countable subset. We used here the fact that the rational numbers form a dense subset of the real numbers. In the second section, the basic properties of the separable normed spaces are discussed. It is applied to isomorphic spaces via bounded linear operators and double dual spaces. In the...

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