State on splitting subspaces and completeness of inner product spaces
- Cite this article as:
- Dvurečenskij, A. & Pulmannová, S. Int J Theor Phys (1988) 27: 1059. doi:10.1007/BF00674351
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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.