Preprint
The realizability problem as a special case of the infinite-dimensional truncated moment problem
ArXiv.org
05/17/2023
DOI: 10.48550/arxiv.2305.10343
Abstract
The realizability problem is a well-known problem in the analysis of complex
systems, which can be modeled as an infinite-dimensional moment problem. More
precisely, as a truncated $K-$moment problem where $K$ is the space of all
possible configurations of the components of the considered system. The power
of this reformulation has been already exploited in \cite{KuLeSp11}, where
necessary and sufficient conditions of Haviland type have been obtained for
several instances of the realizability problem. In this article we exploit this
same reformulation to apply to the realizability problem the recent advances
obtained in \cite{CGIK2022} for the truncated moment problem for linear
functionals on general unital commutative algebras. This provides alternative
proofs and sometimes extensions of several results in \cite{KuLeSp11}, allowing
to finally embed them in the unified framework for the infinite-dimensional
truncated moment problem presented in \cite{CGIK2022}.
Details
- Title: Subtitle
- The realizability problem as a special case of the infinite-dimensional truncated moment problem
- Creators
- Raúl E CurtoMaria Infusino
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arxiv.2305.10343
- ISSN
- 2331-8422
- Language
- English
- Date posted
- 05/17/2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984413071502771
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