Measures and Hilbert lattices
1. Introduction -- 2. Orthomodular measures -- 3. Gleason's theorem -- 4. Jordan-Hahn decomposition -- 5. Orthofacial sets of states -- 6. Equational classes related to states -- 7. Decomposition of complete orthomodular lattices -- 8. Characterization of dimension lattices -- 9. Birkhoff-von Neumann theorem -- 10. Coordinatizations -- 11. Kakutani-Mackey theorem -- 12. Keller's non-classical Hilbert spaces This book has two parts. In section 1 to 6 classical measure theory is extended to the …
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- Full title :Measures and Hilbert lattices / G. Kalmbach
Summary
1. Introduction -- 2. Orthomodular measures -- 3. Gleason's theorem -- 4. Jordan-Hahn decomposition -- 5. Orthofacial sets of states -- 6. Equational classes related to states -- 7. Decomposition of complete orthomodular lattices -- 8. Characterization of dimension lattices -- 9. Birkhoff-von Neumann theorem -- 10. Coordinatizations -- 11. Kakutani-Mackey theorem -- 12. Keller's non-classical Hilbert spaces
This book has two parts. In section 1 to 6 classical measure theory is extended to the theory of measures and states on orthomodular lattices. In section 7 to 12 of this book special properties of complete orthomodular lattices are investigated and characterizations of factors and Hilbert lattices are given
Edition Statements
- Publication Date:©1986
Publication Statements
- Publisher(s):World Scientific Pub. Co
- Place of Publication:Singapore
- Language:eng
- Publication Date:©1986
The Physical Object
- Description:1 Online-Ressource (xi, 247 Seiten) : Illustrationen
Edition Identifiers
- ISBN:9971500094, 9789971500092, 9789814503105, 981450310X
- oclc:on1005230644
- Dewey Decimal:515.733
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