International Journal of Theoretical Physics

, Volume 27, Issue 9, pp 1059–1067

State on splitting subspaces and completeness of inner product spaces

Authors

  • Anatolij Dvurečenskij
    • Mathematical InstituteSlovak Academy of Sciences
  • Sylvia Pulmannová
    • Mathematical InstituteSlovak Academy of Sciences
Article

DOI: 10.1007/BF00674351

Cite this article as:
Dvurečenskij, A. & Pulmannová, S. Int J Theor Phys (1988) 27: 1059. doi:10.1007/BF00674351

Abstract

We show that an inner product spaceV is complete iff the system of all splitting subspaces, i.e., of all subspacesM for whichM + M=V, possesses at least one completely additive state.

Download to read the full article text

Copyright information

© Plenum Publishing Corporation 1988