Dirichlet operators on loop spaces: Essential self-adjointness and log-Sobolev inequality
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Publication:4345175
DOI10.1063/1.532054zbMath0939.31012OpenAlexW2038652960MaRDI QIDQ4345175
Publication date: 10 July 2000
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532054
spectrumDirichlet formlog-Sobolev inequalityloop spaceDirichlet operatoressential selfadjointness of Dirichlet operators
Dirichlet forms (31C25) Probabilistic potential theory (60J45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Cites Work
- The essential self-adjointness of generalized Schrödinger operators
- Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process
- The maximum Markovian self-adjoint extensions of generalized Schrödinger operators
- Uniqueness of generalized Schrödinger operators and applications
- The logarithmic Sobolev inequality for continuous spin systems on a lattice
- The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
- The logarithmic Sobolev inequality for discrete spin systems on a lattice
- An approximate criterium of essential self-adjointness of Dirichlet operators
- Addendum to the paper ``An approximate criterium of essential self- adjointness of Dirichlet operators
- Uniqueness of generalized Schrödinger operators. II
- Infinite-dimensional Dirichlet operators. I: Essential selfadjointness and associated elliptic equations
- Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula
- Dirichlet operators via stochastic analysis
- Logarithmic Sobolev Inequalities
- Dirichlet forms and diffusion processes on rigged Hilbert spaces
- Energy forms, Hamiltonians, and distorted Brownian paths
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