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Remark on two papers concerning axiomatics of quantum mechanics
Applications of Mathematics, Tome 25 (1980) no. 6, pp. 453-456
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By modifying a scheme (due to Gunson) it can be shown that the space generated by all irreducible states has a prehilbertian structure.
By modifying a scheme (due to Gunson) it can be shown that the space generated by all irreducible states has a prehilbertian structure.
DOI : 10.21136/AM.1980.103884
Classification : 46L60, 46N99, 81B05, 81P05
Keywords: space of states; algebra of yes-no experiments 
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Alda, Václav. Remark on two papers concerning axiomatics of quantum mechanics. Applications of Mathematics, Tome 25 (1980) no. 6, pp. 453-456. doi: 10.21136/AM.1980.103884

[1] J. von Neumann: Mathematische Grundlagen der Quantenmechanik. Springer - Verlag, 1932. | MR

[2] J. Gunson: On the Algebraic Structure Of Quantum Mechanics. Comm. Math. Phys., 6 (1967), 262-285. | DOI | MR | Zbl

[3] S. Gudder: On the Quantum Logic Approach to Quantum Mechanics. Comm. Math. Phys., 12 (1969), 1-15. | DOI | MR | Zbl

[4] J. C. T. Pool: Baer *-Semigroups and the Logic of Quantum. Mechanics. Comm. Math. Phys. 9 (1968), 118-141. | DOI | MR

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