## Representations of Hermitian Commutative *-Algebras by Unbounded Operators

Thill, Marco
##### Description
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