The notion of observable and the moment problem for \(*\)-algebras and their GNS representations

DOI10.1007/s11005-020-01277-xzbMath1442.81047arXiv1903.07496OpenAlexW3099077469MaRDI QIDQ2191218

Nicolò Drago, Valter Moretti

Publication date: 24 June 2020

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07496

zbMATH Keywords

moment problemselfadjointnessalgebraic quantum field theoryGNS constructionstar-algebras

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Geometry and quantization, symplectic methods (81S10) Linear operator methods in interpolation, moment and extension problems (47A57) Vector-valued measures and integration (46G10) States of selfadjoint operator algebras (46L30)

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