Uniqueness on a Residual Part of Best Approximations in Banach Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1977 Bulgaria Publisher:Bulgarian Academy of Sciences - BAS (Bălgarska Akademiya na Naukite - BAN), Sofia

Authors: Kenderov, Petar S.;

handle: 10525/3635

Uniqueness on a Residual Part of Best Approximations in Banach Spaces

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Abstract

[Kenderov Petar S.; Кендеров Петър С.] The paper presents some general results concerning continuity on a residual part of every semi-continuous multivalued mapping. As an application, some results are proved asserting (under some conditions) that every metric projection is single-valued on a residual part of the space. The results were announced in [6].

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Bulgaria

Related Organizations

Institute of Mathematics and Informatics
Bulgaria
Bulgarian Academy of Sciences
Bulgaria

Keywords

Best approximation, Chebyshev systems, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), residual part, metric projection

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