Representations of Hermitian Commutative *-Algebras by Unbounded\n Operators

2009/08/22 by Marco Thill, Thill, Marco
Mathematics · #47A67 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Representation Theory (math.RT) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0908.3267

openalex publication_date 2009/08/22 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28

Abstract

We give a spectral theorem for unital representations of Hermitian\ncommutative unital *-algebras by possibly unbounded operators in a pre-Hilbert\nspace. A better result is known for the case in which the *-algebra is\ncountably generated.\n

Citations

• Unbounded Induced Representations of *-Algebras

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