@article{AIHPA_1981__35_4_259_0, author = {Abbati, M. C. and Mani\`a, A.}, title = {A spectral theory for order unit spaces}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {259--285}, publisher = {Gauthier-Villars}, volume = {35}, number = {4}, year = {1981}, mrnumber = {650133}, zbl = {0482.46006}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1981__35_4_259_0/} }
TY - JOUR AU - Abbati, M. C. AU - Manià, A. TI - A spectral theory for order unit spaces JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1981 SP - 259 EP - 285 VL - 35 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1981__35_4_259_0/ LA - en ID - AIHPA_1981__35_4_259_0 ER -
%0 Journal Article %A Abbati, M. C. %A Manià, A. %T A spectral theory for order unit spaces %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1981 %P 259-285 %V 35 %N 4 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1981__35_4_259_0/ %G en %F AIHPA_1981__35_4_259_0
Abbati, M. C.; Manià, A. A spectral theory for order unit spaces. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 35 (1981) no. 4, pp. 259-285. http://archive.numdam.org/item/AIHPA_1981__35_4_259_0/
[1] Quantum Logic and Operational Quantum Mechanics. IFUM 227/FT to be published in Rep. Math. Phys. | MR | Zbl
, ,[2] The Quantum Logical and the Operational Description for Physical Systems. In Corrent Issues in Quantum Logic. Eds. and . , Int. Science Series Phys. Sciences, t. 8, Plenum Press, 1981. | MR
, ,[3] Compact Convex Sets and Boundary Integrals. Ergebnisse der Mathematik und ihrer Grenzgebiete, t. 57, Springer, 1971. | MR | Zbl
,[4] Non Commutative Spectral Theory for Affine Function Spaces on Convex sets. Mem. Amer. Math. Soc., t. 172, 1976. | MR | Zbl
, ,[5] State Spaces of Jordan Algebras. Acta Math., t. 140, 1978, p. 155-190. | MR | Zbl
, ,[6] State Spaces of C*-algebras. Acta Math., t. 144, 1980, p. 267-305. | MR | Zbl
, , ,[7] Naimark Theorem for Jordan Algebras. Adv. in Math., t. 28, 1978, p. 11-56. | MR | Zbl
, and , -[8] Une Théorie Spectrale dans Certains Espaces de Banach Ordonnés. Prép. Université de Saint-Étienne. Départment de Mathématique, 1975.
,[9] Une Théorie Spectrale dans Certains Espaces du type A(K). C. R. Acad. Sci., Paris, t. 282, 1976, Série A, p. 207-210. | MR | Zbl
,[10] An Operational Approach to Quantum Probability. Commun. Math. Phys., t. 16, 1970, p. 277-304. | MR | Zbl
, ,[11] The Operational Approach to Algebraic Quantum Theory I. Commun. Math. Phys., t. 16, 1970, p. 207-230. | MR | Zbl
,[12] Sets of Simple Observables in the Operational Approach to Quantum Theory. Ann. Inst. H. Poincaré, t. XV, n° 1, Sec. A, 1971, p. 1-14. | Numdam | MR | Zbl
,[13] Alternative Axioms for Statistical Physical Theories. Ann. Inst. H. Poincaré, t. XXII, n° 1, Sec. A, 1975, p. 81-95. | Numdam | MR | Zbl
,[14] Axiomatic Quantum Mechanics and Generalized Probability. In Probabilistic Methods in Applied Mathematics, A. Bharucha-Reid, Academic, New York, t. II, 1970. | Zbl
,[15] On an Algebraic Generalization of the Quantum Mechanical Formalism. Ann. of Math., 35, 1934, p. 29-64. | JFM | MR | Zbl
, and ,[16] An Algebraic Approach to Quantum Field Theory. J. Math. Phys., t. 5, 1964, p. 846-861. | MR | Zbl
, ,[17] Measure Theory. Van Nostrand, 1950. | MR | Zbl
,[18] Some Problems in non Commutative Probability, Preprint. Proceedings of Colloquium on Random Fields : Rigorous Results in Statistical Mechanics and Q. F. T., Esztergom, 1979.
,[19] Ordered Linear Spaces, Springer, 1970. | MR | Zbl
,[20] Every Measure on the Projections of a W*-algebra can be Extended to a State. Functional Analysis and its Applications, t. 8, 1974, p. 318 ; t. 9, 1975, p. 271, Erratum. | MR | Zbl
,[21] Deutung des Begriffs « physicalische Theorie » und axiomatische Grundlegung der Hilbertaumstructure der Quantenmechanik durch Hauptsaetze des Messens, Lecture Notes in Physics, t. 4, Springer, 1970. | Zbl
,[22] Riesz Spaces I, North Holland, 1971. | MR | Zbl
, ,[23] Theory of Filters, Commun. Math. Phys., t. 15, 1969, p. 1-46. | MR | Zbl
,[24] Generalized Quantum Mechanics, Commun. Math. Phys., t. 37, 1974, p. 221-256. | MR
,[25] Quantum Logics: is it Necessarily Orthocomplemented? In Quantum Mechanics, Determinism, Causality and Particles, p. 117-135. M. Flato et al (eds) D. Reidel Dordrech Holland, 1976.
,[26] Detectable Properties and Spectral Quantum Logics Marburg Conference on Interpretations and Foundations of Quantum Theories, 1979. | Zbl
,[27] Postulates for General Quantum Mechanics. Annuals of Math., t. 48, 1947, p. 930-948. | MR | Zbl
,[28] On normed Jordan Algebras which are Banach Dual Spaces. J. Funct. Anal., t. 31, 1979, p. 360-376. | MR | Zbl
,[29] Probability in Physics and a Theorem on Simultaneous Observability. Com. Pure and Appl. Math., t. 15, 1962, p. 189-217. | MR | Zbl
,[30] Geometry of Quantum Theory, t. I. Van Nostrand Reinhold Comp., New York, 1970. | MR | Zbl
,[31] Matrix order and W*-algebras in the operational approach to statistical systems. Commun. Math. Phys., t. 74, 1980, p. 61-70. | MR | Zbl
,