Converse of the Eilers-Horst theorem (Q1094645)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Converse of the Eilers-Horst theorem |
scientific article; zbMATH DE number 4026152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Converse of the Eilers-Horst theorem |
scientific article; zbMATH DE number 4026152 |
Statements
Converse of the Eilers-Horst theorem (English)
0 references
1987
0 references
The theorem of \textit{M. Eilers}, \textit{E. Horst} [Int. J. Theor. Phys. 13, 419-424 (1975; Zbl 0345.46021)] is generalized showing that any finite as well as any \(\sigma\)-finite measure on a quantum logic of a Hilbert space H is a Gleason one iff the dimension of H is a nonmeasurable cardinal \(\neq 2\).
0 references
nonmeasurable cardinal
0 references
Gleason state
0 references
\(\sigma \)-finite measure on a quantum logic
0 references
