Extension of representations in quasi *-algebras
(1998) Institut Henri Poincare. Annales: Physique Theorique — Vol. 69, n° 2, p. 241-264 (1998)
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- Authors
Antoine, Jean-Pierre 
- Abstract
- Let (U, U-o) be a topological quasi *-algebra, which means in particular that U-o is a topological *-algebra, dense in U. Let pi(o) be a *-representation of U-o in some pre-Hilbert space D subset of H. Then we present several ways of extending pi(o), by closure, to some larger quasi *-algebra contained in U, either by Hilbert space operators, or by sesquilinear forms on D. Explicit examples are discussed, both abelian and nonabelian, including the CCR algebra. (C) Elsevier, Paris.
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Citations
Antoine, J.-P., Bagarello, F., & Trapani, C. (1998). Extension of representations in quasi *-algebras. Institut Henri Poincare. Annales: Physique Theorique, 69(2), 241-264. https://hdl.handle.net/2078.5/27077 (Original work published 1998)