Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces View Full Text


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Article Info

DATE

2019-04

AUTHORS

Guang Gui Ding, Jian Ze Li

ABSTRACT

In this paper, based on the smooth point of the unit ball and its support linear functional, we show two equivalent formulations of the isometric extension problem between the unit spheres of strictly convex two-dimensional normed spaces. We prove that these equivalent formulations have a positive answer in a special case. More... »

PAGES

513-518

References to SciGraph publications

  • 2015-12. The isometric extension problem between unit spheres of two separable Banach spaces in ACTA MATHEMATICA SINICA, ENGLISH SERIES
  • 2017-10. Isometries and additive mapping on the unit spheres of normed spaces in ACTA MATHEMATICA SINICA, ENGLISH SERIES
  • 2009-10. On isometric extension problem between two unit spheres in SCIENCE IN CHINA SERIES A MATHEMATICS
  • 1987-04. Isometries of the unit sphere in GEOMETRIAE DEDICATA
  • 2014-08. Tingley’s problem on symmetric absolute normalized norms on ℝ2 in ACTA MATHEMATICA SINICA, ENGLISH SERIES
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10114-019-7509-3

    DOI

    http://dx.doi.org/10.1007/s10114-019-7509-3

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112987675


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