Construction of unbounded Dirichlet forms on standard forms of von Neumann algebras

Changsoo Bahn; Chul Ki Ko

doi:10.4134/JKMS.2002.39.6.931

Construction of unbounded Dirichlet forms on standard forms of von Neumann algebras

Changsoo Bahn, Chul Ki Ko

University College

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We extend the construction of Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebra, given in [13] to the case of unbounded operators affiliated with the von Neumann algebra. We then apply our result to give Dirichlet forms associated to the momentum and position operators on quantum mechanical systems.

Original language	English
Pages (from-to)	931-951
Number of pages	21
Journal	Journal of the Korean Mathematical Society
Volume	39
Issue number	6
DOIs	https://doi.org/10.4134/JKMS.2002.39.6.931
Publication status	Published - 2002

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4134/JKMS.2002.39.6.931

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title = "Construction of unbounded Dirichlet forms on standard forms of von Neumann algebras",

abstract = "We extend the construction of Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebra, given in [13] to the case of unbounded operators affiliated with the von Neumann algebra. We then apply our result to give Dirichlet forms associated to the momentum and position operators on quantum mechanical systems.",

keywords = "Dirichlet forms, Markovian semi-groups, Standard forms of von Neumann algebras, Unbounded operators",

author = "Changsoo Bahn and Ko, {Chul Ki}",

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AU - Ko, Chul Ki

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AB - We extend the construction of Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebra, given in [13] to the case of unbounded operators affiliated with the von Neumann algebra. We then apply our result to give Dirichlet forms associated to the momentum and position operators on quantum mechanical systems.

KW - Dirichlet forms

KW - Markovian semi-groups

KW - Standard forms of von Neumann algebras

KW - Unbounded operators

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JO - Journal of the Korean Mathematical Society

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Construction of unbounded Dirichlet forms on standard forms of von Neumann algebras

Abstract

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