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Stochastic Differential Systems pp 14–31Cite as

On dirichlet forms on topological vector spaces: Existence and maximality

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 126))

Abstract

We recall basic problems of the theory of Dirichlet forms and symmetric Markov processes with finite or infinite dimensional state space. We discuss in particular the existence problem and give some new results concerning the structure of the space of Dirichlet forms extending a given minimal one. The results apply in particular to Dirichlet forms giving Hamiltonians of quantum mechanics and quantum field theory.

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Author information

Authors and Affiliations

  1. Institut für Mathematik Ruhr-Universität Bochum, 4630 Bochum 1, Federal Republic of Germany

    Sergio Albeverio

  2. BiBoS, Germany

    Sergio Albeverio

  3. SFB 237 Bochum-Essen-Düsseldorf, Germany

    Sergio Albeverio

  4. GERFIM, Locarno (GH)

    Sergio Albeverio

  5. Department of Mathematics, University of Edinburgh, EH9 3JZ, Edinburgh, Scotland

    Michael Röckner

Authors
  1. Sergio Albeverio
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  2. Michael Röckner
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Norbert Christopeit Kurt Helmes Michael Kohlmann

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© 1989 Springer-Verlag

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Albeverio, S., Röckner, M. (1989). On dirichlet forms on topological vector spaces: Existence and maximality. In: Christopeit, N., Helmes, K., Kohlmann, M. (eds) Stochastic Differential Systems. Lecture Notes in Control and Information Sciences, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043769

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  • DOI: https://doi.org/10.1007/BFb0043769

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51299-8

  • Online ISBN: 978-3-540-46188-3

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