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Ding, G.G. (2002) The 1-Lipschitz Mapping between Unit Spheres of Two Hilbert Spaces Can Extended to a Real Linear Isometry of the Whole Space. Science in China Series A, 45, 479-483.
https://doi.org/10.1007/BF02872336

has been cited by the following article:

• TITLE: Wigner’s Theorem in s* and sn(H) Spaces

  AUTHORS: Meimei Song, Shunxin Zhao

  KEYWORDS: s Space, Wigner’s Theorem, Phase Equivalent, Linear Isometry, sn(H) Space

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.8 No.3, September 7, 2018

  ABSTRACT: Wigner theorem is the cornerstone of the mathematical formula of quan-tum mechanics, it has promoted the research of basic theory of quantum mechanics. In this article, we give a certain pair of functional equations between two real spaces s or two real sn(H), that we called “phase isometry”. It is obtained that all such solutions are phase equivalent to real linear isometries in the space s and the space sn(H).