Erratum: Dirichlet Forms and Dirichlet Operators for Infinite Particle Systems: Essential Self-adjointness
Veni Choi, Yong Moon Park, and Hyun Jae Yoo
TL;DR
This paper re-establishes the essential self-adjointness of Dirichlet operators associated with infinite particle systems, ensuring mathematical rigor in the analysis of such systems with specific interaction types.
Contribution
It provides a new proof of essential self-adjointness for Dirichlet operators in infinite particle systems with certain interaction properties.
Findings
Confirmed essential self-adjointness for systems with superstable interactions
Extended results to systems with sub-exponentially decreasing interactions
Strengthened mathematical foundations for analysis of infinite particle systems
Abstract
We reprove the essential self-adjointness of the Dirichlet operators of Dirchlet forms for infinite particle systems with superstable and sub-exponentially decreasing interactions.
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