@incollection{MSMF_1973__35__145_0,
author = {Dang Ngoc Nghiem},
title = {$\Sigma ^\ast $-alg\`ebres, probabilit\'es non commutatives et applications},
booktitle = {Contributions au calcul des probabilit\'es},
series = {Bulletin de la Soci\'et\'e math\'ematique de France. M\'emoire},
pages = {145--189},
year = {1973},
publisher = {Soci\'et\'e math\'ematique de France},
number = {35},
doi = {10.24033/msmf.118},
mrnumber = {56 #9283},
zbl = {0288.46059},
url = {https://www.numdam.org/articles/10.24033/msmf.118/}
}
TY - CHAP AU - Dang Ngoc Nghiem TI - $\Sigma ^\ast $-algèbres, probabilités non commutatives et applications BT - Contributions au calcul des probabilités AU - Collectif T3 - Bulletin de la Société mathématique de France. Mémoire PY - 1973 SP - 145 EP - 189 IS - 35 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/msmf.118/ DO - 10.24033/msmf.118 ID - MSMF_1973__35__145_0 ER -
%0 Book Section %A Dang Ngoc Nghiem %T $\Sigma ^\ast $-algèbres, probabilités non commutatives et applications %B Contributions au calcul des probabilités %A Collectif %S Bulletin de la Société mathématique de France. Mémoire %D 1973 %P 145-189 %N 35 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/msmf.118/ %R 10.24033/msmf.118 %F MSMF_1973__35__145_0
Dang Ngoc Nghiem. $\Sigma ^\ast $-algèbres, probabilités non commutatives et applications, dans Contributions au calcul des probabilités, Bulletin de la Société mathématique de France. Mémoire, no. 35 (1973), pp. 145-189. doi: 10.24033/msmf.118
(1) & : Sur une généralisation du problème de la mesure. Fund. Math. 14 (1929) 127-131. | JFM
(2) : Notes on spectral Theory (Van Nostrand 1966). | Zbl | MR
(3) .: Théorie dialectique des probabilités englobant leurs calculs classique et quantique (Gauthier-Villars) 1964. | Zbl | MR
(4) : On the Borel structure of C*-algebras (with an appendix by R.V. KADISON). Comm. Math. Phys. 8 (1968) 147-164. | Zbl | MR
(5) .: The structure of ∑*-algebras. Quart. J. Math. 20 (1969) 351-366. | Zbl | MR
(6) . Quantum Stochastic Processes. Comm. Math. Phys. 15 (1969) 277-304. | Zbl | MR
(7) : Les noyaux élémentaires. Séminaire de Théorie du Potentiel (Brelot-Choquet-Deny). (1959-1960). | Numdam
(8) . Les algèbres d'opérateurs dans l'espace hilbertien. (Gauthier-Villars) (1969). | Zbl
(9) . Les C*-algèbres et leurs représentations. (Gauthier-Villars) (1969). | Zbl | MR
(10) , & : Invariant states and asymptotic abelianness. J. Func. Ana. 3 (1969) 419-434. | Zbl | MR
(11) .: Theory of Markov Processes I & II. Springer-Verlag (1965).
(12) : The operational approach to algebraic quantum theory. Comm. Math. Phys. 16 (1970) 207-230. | Zbl | MR
(13) .: Order Ideals in a C*-algebra and its dual. Duke Math. J. 30 (1963) 391-411. | Zbl | MR
(14) : Classification of representations of the anticommutation relations. Russian Math. Surveys 24 (1969) 1-64. | Zbl
(15) : Algèbres d'observables associées aux relations de commutation. (Armand Colin). | Zbl
(16) .: Sur la catégorie des algèbres de Von Neumann. Bull. Sci. Math. 90 (1966), 41-64. | Zbl | MR
(17) .: Leçons sur certaines algèbres topologiques. (Gordon & Breach) (1967). | Zbl
(18) : Tensor Products of C*-algebras. I. Lecture Notes Series 13 Aarhus Universitet (1969). | Zbl
(19) : Tensor Products of C*-algebras. II. Lecture Notes Series 13 Aarhus Universitet (1969). | Zbl
(20) & : Désintégration des états quasi-invariants des C*-algèbres. Journ. Math. Pures et Appl. 49 (1970) 349-380. | Zbl | MR
(21) , & : Nets of C*-algebras and classification of states. Comm. Math. Phys. 16 (1970) 81-104. | Zbl | MR
(22) & : An algebraic approach to quantum field theory. J. Math. Phys. 5 (1964) 848-861. | Zbl | MR
(23) : Measure Theory. (Van Nostrand) (1961).
(24) : Lectures on Boolen algebras (Van Nostrand Math. Studies) (1963). | Zbl
(25) : Transformation of states in operator theory and dynamics. Topology 3, Suppl. 2 (1965) 177-198. | Zbl | MR
(26) : States and Representations. T.A.M.S. 103 (1962) 304-319. | Zbl | MR
(27) : Operator algebras with a faithful weakly closed representation. Ann. Math. 64 (1954) 175-181. | Zbl | MR
(28) & : Integral representations of invariant states on B*-algebras. J. Math. Phys. 8 (1967) 1460-1463. | Zbl | MR
(29) : On the representation of σ-complete Boolean algebras. Bull. Amer. Math. Soc. 53 (1947) 757-760. | Zbl | MR
(30) : Abstract harmonic analysis. (D. Van Nostrand Company) (1953). | Zbl | MR
(31) : Mathematical foundations of Quantum Mechanics. (W.A. Benjamin, Inc.) (1963). | Zbl
(32) : Probabilités et Potentiels (Hermann, 1966). | Zbl | MR
(33) : Theory of categories (Academic Press, 1965). | Zbl
(34) : Bases mathématiques du Calcul des Probabilités. (Masson, 1970). | Zbl | MR
(35) : On weak and σ-monotone closures of C*-algebras. Comm. Math. Phys. 11 (1969) 221-266. | Zbl | MR
(36) : C*-integrals (Kobenhavns Universitet, May 1970). | Zbl | MR
(37) : C*-algebras and Mackey's axioms. Comm. Math. Phys. 8 (1968) 132-146. | Zbl | MR
(38) : Statistical Mechanics (Benjamin, New York, 1969). | Zbl | MR
(39) : Integral representation of states on a C*-algebras. J. Func. Ana. 6 (1970) 116-151. | Zbl | MR
(40) : On the central decomposition of positive functionals on C*-algebras. T.A.M.S. 118 (1965) 406-419. | Zbl | MR
(41) : On topological properties of W*-algebras. Proc. Japan Acad. 33 (1957) 439-444. | Zbl | MR
(42) : C*-algebras and W*-algebras. Springer-Verlag (1971). | Zbl | MR
(43) : Postulates for general quantum mechanics. Ann. of Math. 4 (1947), 930-948. | Zbl | MR
(44) & : Integrals and Operators (Mc GrawHill) (1968). | Zbl | MR
(45) : States and invariant maps of operator algebras. J. Func. Ana. 5 (1970) 44-65. | Zbl | MR
(46) : On the representation of operator algebras. Proc. Japan Acad. 30 (1954) 299-304. | Zbl | MR
(47) : On the representations of operator algebras II. Tohôku Math. J. 6 (1954), 212-219. | Zbl | MR
(48) : Inductive limit and infinite direct product of operator algebras. Tohôku Math. J. 7 (1955) 67-86. | Zbl | MR
(49) : On the direct product of operator algebras. I. Tohôku Math. J. 4 (1952) 242-251. | Zbl | MR
(50) : On the direct product of operator algebras II. Tohôku Math. J. 5 (1953) 1-7. | Zbl | MR
Cité par Sources :







