Representations of Hermitian Commutative *-Algebras by Unbounded Operators

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

2009-08-22

arxiv.org/abs/0908.3267v2

Mathematics

Operator Algebras

The second version corrects a number of mistakes

Scientific paper

We give a spectral theorem for unital representations of Hermitian
commutative unital *-algebras by possibly unbounded operators in a pre-Hilbert
space. A more general result is known for the case in which the *-algebra is
countably generated.

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