[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.6.931

CONSTRUCTION OF UNBOUNDED DIRICHLET FOR ON STANDARD FORMS OF VON NEUMANN ALGEBRAS

Bahn, Chang-Soo (Institute of Natural Science, Yonsei University)
Ko, Chul-Ki (Department of Mathematics, Seoul National University)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.6, 2002 , pp. 931-951 More about this Journal

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 satiated 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; unbounded operators; Markovian semigroups; standard forms of von Neumann algebras;

Citations & Related Records

Times Cited By Web Of Science : 5 (Related Records In Web of Science)
Times Cited By SCOPUS : 5

Reference
Cited By SCOPUS

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11	Chul Ki Ko. (2007) Journal of Mathematical Physics Remarks on the decomposition of Dirichlet forms on standard forms of von Neumann algebras / 48 (11) , 113504
02	YONG MOON PARK. (2005) Infinite Dimensional Analysis, Quantum Probability and Related Topics REMARKS ON THE STRUCTURE OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS / 08 (02) , 179
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2	Chul Ki Ko. (2004) Journal of Mathematical Physics Construction of a family of quantum Ornstein–Uhlenbeck semigroups / 45 (2) , 609

1	/ Reviews in Mathematical Physics
2	/ Journal of Mathematical Physics
3	/ Infinite Dimensional Analysis, Quantum Probability and Related Topics
4	/ Journal of Mathematical Physics
5	/ Journal of Mathematical Physics