Representations of Hermitian Commutative *-Algebras by Unbounded Operators

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Thill, Marco
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Abstract
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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.
Keywords
Mathematics - Operator Algebras, Mathematics - Representation Theory, 47A67
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