Quantum Measures and Spaces

'G. Kalmbach became a member of the elite society 'Order of International Ambassadors'; carries the noble title 'H.E.'; received from ABI USA, a Medal of Honour '2000 Millennium'; and from IBC England, the Gold Gilt Medal Award for 'Outstanding People of the 20th Century', one of only 500 such medals awarded around the world.'

Preface. I: Measures, Orthomodularity and Inner Products. 1. Introduction. 2. Orthomodular Measures. 3. Gleason's Theorem. 4. Gleason's Theorem in Applications; A. Dvurecenskij. 5. Inner Products. II: Matrix Operators and Particles. 6. Manifolds, Matrices and Lie Structures. 7. CC-Springs. 8. Spins. 9. Gravitons and 4D-Bags. III: Orthomodular Structures. 10. Complete Structures. 11. Dimension Theory. 12. Measures on Complete Structures. 13. Coordinatizations. 14. The Kakutani-Mackey Theorem. 15. Keller Spaces. 16. Orthomodular Spaces. IV: Miscellaneous. 17. About the 3-Sphere. 18. Spectral Theore; A. Hermann. 19. Topology. 20. Strong and Weak Topologies; P. Hitzler. 21. D-Posets and Effect Algebras; Z. Riecanova. V: Appendix. A. Anti-Automorphisms. B. Boolean Logic. C. Groups and General Algebras. D. 6-Roll Mill. E. Sets. F. Relativistic Quantum Mechanics. Bibliography. Index.