Kolmogorov diameters and orthogonality in non-Archimedean normed spaces

• Autores: A. K. Katsaras, Javier Martínez Maurica
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 1, 1990, págs. 71-88
• Idioma: inglés
• Títulos paralelos:
  • Diámetros de Kolmogorov y ortogonalidad en espacios normados no arquimedianos
• Enlaces
  • Texto completo
• Resumen

  • 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.

• Referencias bibliográficas
  • S. Caenepeel and W\.R. Schikhof, Two elementary proofs of Katsaras’ theorem on $p$-adic compactoids, in Proceedings of the Conference on $p$-adic...
  • A. K. Katsaras, On non-archimedean locally convex spaces, Bull. Greek Math. Soc., 29 (1990), 61–83.
  • A. Pietsch, Nuclear Locally Convex Spaces, Springer, 1972.
  • A. C. M. van Rooij, Notes on $p$-Adic Banach Spaces I–VI, Math. Inst., Katholieke Universiteit, Reports 7633 and 7725, Nijmegen, 1976–77.
  • A. C. M. van Rooij, Non-archimedean Functional Analysis, Marcel Dekker, New York, 1978.
  • W. H. Schikhof, Finite Dimensional Ultrametric Convexity, Math. Inst., Katholieke Universiteit, Report 8538, Nijmegen, 1985.
  • W. H. Schikhof, A Complementary Variant of $c$-Compactness in $p$-Adic Functional Analysis, Math. Inst., Katholieke Universiteit, Report 8647,...