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Volumn 135, Issue 1, 1996, Pages 50-75

Non-symmetric Dirichlet forms on semifinite von Neumann algebras

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EID: 0030577623     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0003     Document Type: Article
Times cited : (18)

References (32)
  • 1
    • 0002599294 scopus 로고
    • Dirichlet forms and Markov semigroups on C*-algebras
    • [AH] S. ALBEVERIO AND R. HØEGH-KROHN, Dirichlet forms and Markov semigroups on C*-algebras, Comm. Math. Phys. 56 (1977), 173.
    • (1977) Comm. Math. Phys. , vol.56 , pp. 173
    • Albeverio, S.1    HØegh-Krohn, R.2
  • 2
    • 0010759169 scopus 로고
    • Dynamical semigroups and Markov processes on C*-algebras
    • [AHO] S. ALBEVERIO, R. HØEGH-KROHN, AND G. OLSEN, Dynamical semigroups and Markov processes on C*-algebras, J. Math. 319 (1980), 25.
    • (1980) J. Math. , vol.319 , pp. 25
    • Albeverio, S.1    HØegh-Krohn, R.2    Olsen, G.3
  • 3
    • 0001306962 scopus 로고
    • Quasi-regular Dirichlet forms and Markov processes
    • [AMR] S. ALBEVERIO, Z. M. MA, AND M. RÖCKNER, Quasi-regular Dirichlet forms and Markov processes, J. Funct. Anal. 111 (1993), 118.
    • (1993) J. Funct. Anal. , vol.111 , pp. 118
    • Albeverio, S.1    Ma, Z.M.2    Röckner, M.3
  • 4
    • 0000079939 scopus 로고
    • Classical Dirichlet forms on topological vector spaces - Construction of an associated diffusion processes
    • [AR] S. ALBEVERIO AND M. RÖCKNER, Classical Dirichlet forms on topological vector spaces - Construction of an associated diffusion processes, Prob. Theory Related Fields 83 (1989), 405.
    • (1989) Prob. Theory Related Fields , vol.83 , pp. 405
    • Albeverio, S.1    Röckner, M.2
  • 5
    • 4244105405 scopus 로고
    • Quantum probability and applications
    • Springer-Verlag, New York
    • [AW] L. ACCARDI AND W. VON WALDENFELS, Eds., "Quantum Probability and Applications," Lecture Notes in Mathematics, Vols. 1055, 1136, 1303, 1396, 1442, Springer-Verlag, New York, 1984, 1985, 1988, 1989, 1990; L. ACCARDI, Ed., "Quantum probability and Related Topics," Vols. VI, VII, VIII, IX, World Scientific, Singapore, 1991, 1992, 1993, in press.
    • (1984) Lecture Notes in Mathematics , vol.1055-1442
    • Accardi, L.1    Von Waldenfels, W.2
  • 6
    • 0011568599 scopus 로고
    • World Scientific, Singapore, in press
    • [AW] L. ACCARDI AND W. VON WALDENFELS, Eds., "Quantum Probability and Applications," Lecture Notes in Mathematics, Vols. 1055, 1136, 1303, 1396, 1442, Springer-Verlag, New York, 1984, 1985, 1988, 1989, 1990; L. ACCARDI, Ed., "Quantum probability and Related Topics," Vols. VI, VII, VIII, IX, World Scientific, Singapore, 1991, 1992, 1993, in press.
    • (1991) Quantum Probability and Related Topics , vol.6-9
    • Accardi, L.1
  • 7
    • 0003223033 scopus 로고
    • Derivations, dissipations and group actions on C*-algebras
    • Springer-Verlag, New York
    • [B] O. BRATTELI, "Derivations, Dissipations and Group Actions on C*-Algebras," Lecture Notes in Mathematics Vol. 1229. Springer-Verlag, New York, 1986.
    • (1986) Lecture Notes in Mathematics , vol.1229
    • Bratteli, O.1
  • 8
    • 45149136719 scopus 로고
    • Nuclear maps and modular structures. I. General properties
    • [BDL] D. BUCHHOLZ, C. D. ANTONI, AND R. LONGO, Nuclear maps and modular structures. I. General properties, J. Funct. Anal. 88 (1990), 233.
    • (1990) J. Funct. Anal. , vol.88 , pp. 233
    • Buchholz, D.1    Antoni, C.D.2    Longo, R.3
  • 13
    • 38249005166 scopus 로고
    • Analysis on graphs and non-commutative Geometry
    • [D3] E. B. DAVIES, Analysis on Graphs and Non-commutative Geometry, J. Funct. Anal. 111 (1993), 398.
    • (1993) J. Funct. Anal. , vol.111 , pp. 398
    • Davies, E.B.1
  • 14
    • 51249169618 scopus 로고
    • Non-commutative symmetric Markov semigroups
    • [DL1] E. B. DAVIES AND J. M. LINDSAY, Non-commutative symmetric Markov semigroups, Math. Z. 210 (1992), 379.
    • (1992) Math. Z. , vol.210 , pp. 379
    • Davies, E.B.1    Lindsay, J.M.2
  • 15
    • 21344492431 scopus 로고
    • Superderivations and symmetric Markov semigroups
    • [DL2] E. B. DAVIES AND J. M. LINDSAY, Superderivations and symmetric Markov semigroups, Comm. Math. Phys. 157 (1993), 359.
    • (1993) Comm. Math. Phys. , vol.157 , pp. 359
    • Davies, E.B.1    Lindsay, J.M.2
  • 16
    • 0011633124 scopus 로고
    • Markov semigroups on C*-bundles
    • [DR] E. B. DAVIES AND O. S. ROTHAUS, Markov semigroups on C*-bundles, J. Funct. Anal. 85 (1989), 264.
    • (1989) J. Funct. Anal. , vol.85 , pp. 264
    • Davies, E.B.1    Rothaus, O.S.2
  • 19
    • 84972558081 scopus 로고
    • Hypercontractivity and logarithmic Sobolev inequalities for the Clifford Dirichlet forms
    • [G] L. GROSS, Hypercontractivity and logarithmic Sobolev inequalities for the Clifford Dirichlet forms, Duke Math. J. 42 (3) (1975), 383.
    • (1975) Duke Math. J. , vol.42 , Issue.3 , pp. 383
    • Gross, L.1
  • 20
    • 51649139193 scopus 로고
    • KMS-symmetric Markov semigroups
    • [GL] S. GOLDSTEIN AND J. M. LINDSAY, KMS-symmetric Markov semigroups, Math. Z. 219 (1995), 591;
    • (1995) Math. Z. , vol.219 , pp. 591
    • Goldstein, S.1    Lindsay, J.M.2
  • 21
    • 0001199032 scopus 로고
    • Beurling-Deny conditions for KMS-symmetric dynamical semigroups
    • Beurling-Deny conditions for KMS-symmetric dynamical semigroups, C.R. Acad. Sci. Paris, Ser. I Math. 317 (1993), 1053.
    • (1993) C.R. Acad. Sci. Paris, Ser. I Math. , vol.317 , pp. 1053
  • 22
    • 0000912841 scopus 로고
    • p Fourier transforms on locally compact unimodular groups
    • p Fourier transforms on locally compact unimodular groups, Trans. Amer. Math. Soc. 89 (1958), 519.
    • (1958) Trans. Amer. Math. Soc. , vol.89 , pp. 519
    • Kunze, R.A.1
  • 24
    • 0001213495 scopus 로고
    • Functions and derivations on C*-algebras
    • [Mc] A. McINTOSH, Functions and derivations on C*-algebras. J. Funct. Anal. 30 (1978), 264.
    • (1978) J. Funct. Anal. , vol.30 , pp. 264
    • McIntosh, A.1
  • 26
    • 33646751994 scopus 로고
    • Notes on non-commutative integration
    • [N] E. NELSON, Notes on non-commutative integration, J. Funct. Anal. 15 (1974), 103.
    • (1974) J. Funct. Anal. , vol.15 , pp. 103
    • Nelson, E.1
  • 28
    • 0001913703 scopus 로고
    • A remark on the domain of an unbounded derivation of a C*-algebra
    • [Po] R. T. POWERS, A remark on the domain of an unbounded derivation of a C*-algebra, J. Funct. Anal. 18 (1975), 85.
    • (1975) J. Funct. Anal. , vol.18 , pp. 85
    • Powers, R.T.1
  • 29
    • 0007333620 scopus 로고
    • Quantum dirichlet forms, differential calculus and semigroups
    • (Proceedings, Heidelberg, 1990), Lecture Notes in Mathematics, Springer-Verlag, New York
    • [Sa] J. L. SAUVAGEOT, Quantum Dirichlet forms, differential calculus and semigroups, in "Quantum Probability and Applications, V" (Proceedings, Heidelberg, 1990), Lecture Notes in Mathematics, Vol. 1442, Springer-Verlag, New York, 1990.
    • (1990) Quantum Probability and Applications, V , vol.1442
    • Sauvageot, J.L.1
  • 30
    • 0000114353 scopus 로고
    • A non-commutative extension of abstract integration
    • [Se] I. E. SEGAL, A non-commutative extension of abstract integration, Ann. of Math. 57 (1953), 401.
    • (1953) Ann. of Math. , vol.57 , pp. 401
    • Segal, I.E.1
  • 31
    • 0011682115 scopus 로고
    • Integration theorems for gages and duality for unimodular groups
    • [St] W. F. STINESPRING, Integration theorems for gages and duality for unimodular groups, Trans. Amer. Math. Soc. 90 (1959), 15.
    • (1959) Trans. Amer. Math. Soc. , vol.90 , pp. 15
    • Stinespring, W.F.1


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