Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body.


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Abstract

An example of an antiproximinal but not 2-antiproximinal convex closed bounded body is constructed in the space c0 endowed with Day’s norm.

About the authors

B. B. Bednov

Moscow State University, Faculty of Mechanics and Mathematics; Bauman Moscow State Technical University

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Email: noriiii@inbox.ru
Russian Federation, Leninskie Gory, Moscow, 119991; Department FN-12, ul. Baumanskaya 2-ya, 5, Moscow, 105005

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