Lp-spaces and quantum dynamical semigroups
Goldstein, Stanisław ; Lindsay, J.
Banach Center Publications, Tome 43 (1998), p. 211-216 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:208841
@article{bwmeta1.element.bwnjournal-article-bcpv43i1p211bwm,
     author = {Goldstein, Stanis\l aw and Lindsay, J.},
     title = {$L^p$-spaces and quantum dynamical semigroups},
     journal = {Banach Center Publications},
     volume = {43},
     year = {1998},
     pages = {211-216},
     zbl = {0932.46056},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p211bwm}
}
Goldstein, Stanisław; Lindsay, J. $L^p$-spaces and quantum dynamical semigroups. Banach Center Publications, Tome 43 (1998) pp. 211-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p211bwm/

[000] [AH-K] S. Albeverio and R. Høegh-Krohn, Dirichlet forms and Markov semigroups on C*-algebras, Comm. Math. Phys. 56 (1977), 173-187. | Zbl 0384.46043

[001] [Cip] F. Cipriani, Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras, J. Funct. Anal. 147 (1977), 259-300.

[002] [CFL] F. Cipriani, F. Fagnola and J. M. Lindsay, Spectral analysis and Feller property for the quantum Ornstein-Uhlenbeck semigroup, preprint, 1997.

[003] [Dav] E. B. Davies, Analysis on graphs and noncommutative geometry, J. Funct. Anal. 111 (1993), 398-430. | Zbl 0793.46043

[004] [DL 1] E. B. Davies and J. M. Lindsay, Noncommutative symmetric Markov semigroups, Math. Z. 210 (1992), 379-411. | Zbl 0761.46051

[005] [DL 2] E. B. Davies and J. M. Lindsay, Superderivations and symmetric Markov semigroups, Comm. Math. Phys. 157 (1993), 359-370. | Zbl 0799.46081

[006] [GL 1] S. Goldstein and J. M. Lindsay, KMS-symmetric Markov semigroups, Math. Z. 219 (1995), 591-608. | Zbl 0828.47036

[007] [GL 2] S. Goldstein and J. M. Lindsay, Markov semigroups KMS-symmetric for a weight, preprint, 1997.

[008] [GL 3] S. Goldstein and J. M. Lindsay, Noncommutative interpolation and Markov semigroups, in preparation.

[009] [GPh] S. Goldstein and V. T. Phan, Lp-spaces for UHF algebras, to appear in Internat. J. Theoret. Phys., 1998.

[010] [GIS] R. Guido, T. Isola and S. Scarlatti, Non-symmetric Dirichlet forms on semifinite von Neumann algebras, J. Funct. Anal. 135 (1996), 50-75. | Zbl 0899.46043

[011] [Haa] U. Haagerup, Lp-spaces associated with an arbitrary von Neumann algebra, in: Algèbres d’Opérateurs et leur Application en Physique Mathématique. Colloques Internationaux du CNRS, no. 274, Marseille, 20-24 juin 1977, Éditions du CNRS, Paris, 1979, 175-184.

[012] [MZ 1] A. W. Majewski and B. Zegarliński, Quantum stochastic dynamics I: Spin Systems on a lattice, Math. Phys. Electron. J. 1 (1995), no. 1.

[013] [MZ 2] A. W. Majewski and B. Zegarliński, On quantum stochastic dynamics. Disordered systems and statistical physics: rigorous results (Budapest, 1995), Markov Process. Related Fields 2 (1996), 87-116.

[014] [Mat] T. Matsui, Markov semigroups on UHF algebras, Rev. Math. Phys. 5 (1993), 587-600. | Zbl 0794.46049

[015] [Sau] J.-L. Sauvageot, Semigroupe de la chaleur transverse sur la C*-algèbre d'un feuilletage riemannien, C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), 531-536. | Zbl 0704.57019

[016] [Te 1] M. Terp, Lp-spaces associated with von Neumann algebras, notes, Report No. 3a + 3b, Københavns Universitets Matematiske Institut, 1981.

[017] [Te 2] M. Terp, Interpolation spaces between a von Neumann algebra and its predual, J. Operator Theory 8 (1982), 327-360. | Zbl 0532.46035