Antoine, Jean-Pierre
[UCL]
Soulet, Y.
Trapani, C.
The notion of weight, familiar for C*- and W*-algebras, is extended, in two different ways, to partial *-algebras, and the corresponding Gel'fand-Naimark-Segal representation is constructed (leading in one case to operators on a partial inner product space). Physically relevant examples are presented in the case of a graded partial *-algebra.
Bibliographic reference |
Antoine, Jean-Pierre ; Soulet, Y. ; Trapani, C.. Weights on partial *-algebras. In: Journal of Mathematical Analysis and Applications, Vol. 192, no. 3, p. 920-941 (1995) |
Permanent URL |
http://hdl.handle.net/2078.1/47980 |