L p -spaces and quantum dynamical semigroups

Stanisław Goldstein; J. Lindsay

Banach Center Publications (1998)

  • Volume: 43, Issue: 1, page 211-216
  • ISSN: 0137-6934

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Goldstein, Stanisław, and Lindsay, J.. "$L^p$-spaces and quantum dynamical semigroups." Banach Center Publications 43.1 (1998): 211-216. <http://eudml.org/doc/208841>.

@article{Goldstein1998,
author = {Goldstein, Stanisław, Lindsay, J.},
journal = {Banach Center Publications},
keywords = {C*-algebra; symmetric embedding; von Neumann algebra; weight; $L^p$-space; Markov semigroup; positivity; KMS-symmetry; Dirichlet form; semigroups of positive contractions; semigroups of selfadjoint contractions; -semigroup; interval preservation; UHF algebra},
language = {eng},
number = {1},
pages = {211-216},
title = {$L^p$-spaces and quantum dynamical semigroups},
url = {http://eudml.org/doc/208841},
volume = {43},
year = {1998},
}

TY - JOUR
AU - Goldstein, Stanisław
AU - Lindsay, J.
TI - $L^p$-spaces and quantum dynamical semigroups
JO - Banach Center Publications
PY - 1998
VL - 43
IS - 1
SP - 211
EP - 216
LA - eng
KW - C*-algebra; symmetric embedding; von Neumann algebra; weight; $L^p$-space; Markov semigroup; positivity; KMS-symmetry; Dirichlet form; semigroups of positive contractions; semigroups of selfadjoint contractions; -semigroup; interval preservation; UHF algebra
UR - http://eudml.org/doc/208841
ER -

References

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  1. [AH-K] S. Albeverio and R. Høegh-Krohn, Dirichlet forms and Markov semigroups on C*-algebras, Comm. Math. Phys. 56 (1977), 173-187. Zbl0384.46043
  2. [Cip] F. Cipriani, Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras, J. Funct. Anal. 147 (1977), 259-300. 
  3. [CFL] F. Cipriani, F. Fagnola and J. M. Lindsay, Spectral analysis and Feller property for the quantum Ornstein-Uhlenbeck semigroup, preprint, 1997. 
  4. [Dav] E. B. Davies, Analysis on graphs and noncommutative geometry, J. Funct. Anal. 111 (1993), 398-430. Zbl0793.46043
  5. [DL 1] E. B. Davies and J. M. Lindsay, Noncommutative symmetric Markov semigroups, Math. Z. 210 (1992), 379-411. Zbl0761.46051
  6. [DL 2] E. B. Davies and J. M. Lindsay, Superderivations and symmetric Markov semigroups, Comm. Math. Phys. 157 (1993), 359-370. Zbl0799.46081
  7. [GL 1] S. Goldstein and J. M. Lindsay, KMS-symmetric Markov semigroups, Math. Z. 219 (1995), 591-608. Zbl0828.47036
  8. [GL 2] S. Goldstein and J. M. Lindsay, Markov semigroups KMS-symmetric for a weight, preprint, 1997. 
  9. [GL 3] S. Goldstein and J. M. Lindsay, Noncommutative interpolation and Markov semigroups, in preparation. 
  10. [GPh] S. Goldstein and V. T. Phan, L p -spaces for UHF algebras, to appear in Internat. J. Theoret. Phys., 1998. 
  11. [GIS] R. Guido, T. Isola and S. Scarlatti, Non-symmetric Dirichlet forms on semifinite von Neumann algebras, J. Funct. Anal. 135 (1996), 50-75. Zbl0899.46043
  12. [Haa] U. Haagerup, L p -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. 
  13. [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. 
  14. [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. 
  15. [Mat] T. Matsui, Markov semigroups on UHF algebras, Rev. Math. Phys. 5 (1993), 587-600. Zbl0794.46049
  16. [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. Zbl0704.57019
  17. [Te 1] M. Terp, L p -spaces associated with von Neumann algebras, notes, Report No. 3a + 3b, Københavns Universitets Matematiske Institut, 1981. 
  18. [Te 2] M. Terp, Interpolation spaces between a von Neumann algebra and its predual, J. Operator Theory 8 (1982), 327-360. Zbl0532.46035

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