JournalsprimsVol. 2 , No. 3DOI 10.2977/prims/1195195769

A remark on Piron's paper

  • Ichiro Amemiya

    Hokkaido University, Sapporo, Japan
  • Huzihiro Araki

    Kyoto University, Japan
A remark on Piron's paper cover

Abstract

The following statement (Piron's Theorem 22) is proved: The lattice Z/(V) of all subspaces of a prehilbert space V is orthomodular if and only if V is complete (i. e. a Hilbert space).