Representations of Hermitian Commutative *-Algebras by Unbounded Operators

Abstract

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.

References in corpus (2)

• Introduction to Normed *-Algebras and their Representations, 6th ed
• Introduction to Normed *-Algebras and their Representations, 7th ed

Cited by in corpus (1)

• Semibounded representations and invariant cones in infinite dimensional Lie algebras