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La fonctionnelle g et quelques problèmes des meilleures approximations dans des espaces normés. (The g-functional and some problems of best approximation in normed spaces). (French) Zbl 0723.46009

A new characterization of the element of the best approximation in a real normed space is given. Besides, three kinds of projections of vectors on subspaces of that space are introduced, and some relations between these projections are proved.

MSC:

46B20 Geometry and structure of normed linear spaces
41A50 Best approximation, Chebyshev systems
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