Representations of Hermitian Commutative *-Algebras by Unbounded Operators

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1. Verfasser: Thill, Marco
Format: Preprint
Veröffentlicht: 2009
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author Thill, Marco
author_facet Thill, Marco
contents We give a spectral theorem for unital representations of Hermitian commutative unital *-algebras by possibly unbounded operators in a pre-Hilbert space. A better result is known for the case in which the *-algebra is countably generated.
format Preprint
id arxiv_https___arxiv_org_abs_0908_3267
institution arXiv
publishDate 2009
record_format arxiv
spellingShingle Representations of Hermitian Commutative *-Algebras by Unbounded Operators
Thill, Marco
Operator Algebras
Representation Theory
47A67
We give a spectral theorem for unital representations of Hermitian commutative unital *-algebras by possibly unbounded operators in a pre-Hilbert space. A better result is known for the case in which the *-algebra is countably generated.
title Representations of Hermitian Commutative *-Algebras by Unbounded Operators
topic Operator Algebras
Representation Theory
47A67
url https://arxiv.org/abs/0908.3267