Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.

A. K. Katsaras; Javier Martínez-Maurica

Collectanea Mathematica (1990)

  • Volume: 41, Issue: 1, page 71-88
  • ISSN: 0010-0757

Abstract

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The Kolmogorov n-diameter of a bounded set B in a non-archimedean normed space, as defined by the first author in a previous paper, is studied in terms of the norms of orthogonal subsets of B with n + 1 points.

How to cite

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Katsaras, A. K., and Martínez-Maurica, Javier. "Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.." Collectanea Mathematica 41.1 (1990): 71-88. <http://eudml.org/doc/42278>.

@article{Katsaras1990,
abstract = {The Kolmogorov n-diameter of a bounded set B in a non-archimedean normed space, as defined by the first author in a previous paper, is studied in terms of the norms of orthogonal subsets of B with n + 1 points.},
author = {Katsaras, A. K., Martínez-Maurica, Javier},
journal = {Collectanea Mathematica},
keywords = {Espacio normado no arquimediano; Espacio de sucesiones; Ortogonalidad; Dimensión diametral; Kolmogorov -diameter of a bounded set; non-archimedean normed space; norms of orthogonal subsets},
language = {eng},
number = {1},
pages = {71-88},
title = {Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.},
url = {http://eudml.org/doc/42278},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Katsaras, A. K.
AU - Martínez-Maurica, Javier
TI - Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 1
SP - 71
EP - 88
AB - The Kolmogorov n-diameter of a bounded set B in a non-archimedean normed space, as defined by the first author in a previous paper, is studied in terms of the norms of orthogonal subsets of B with n + 1 points.
LA - eng
KW - Espacio normado no arquimediano; Espacio de sucesiones; Ortogonalidad; Dimensión diametral; Kolmogorov -diameter of a bounded set; non-archimedean normed space; norms of orthogonal subsets
UR - http://eudml.org/doc/42278
ER -

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