On the complexity of the description of $*$-algebra representations by unbounded operators
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Abstract:
We study the complexity of the problem to describe, up to unitary equivalence, representations of $*$-algebras by unbounded operators on a Hilbert space. A number of examples are developed in detail.References
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Additional Information
- Lyudmila Turowska
- Affiliation: Department of Mathematics, Chalmers University of Technology, 412 96 Göteborg, Sweden
- Email: turowska@math.chalmers.se
- Received by editor(s): June 12, 2000
- Received by editor(s) in revised form: November 28, 2000, and May 31, 2001
- Published electronically: March 18, 2002
- Communicated by: David R. Larson
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3051-3065
- MSC (2000): Primary 46K10, 46L05, 47L60; Secondary 16G60
- DOI: https://doi.org/10.1090/S0002-9939-02-06525-5
- MathSciNet review: 1908930