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Zeitschrift für Analysis und ihre Anwendungen


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Volume 20, Issue 2, 2001, pp. 295–314
DOI: 10.4171/ZAA/1017

Published online: 2001-06-30

Unbounded $C$*-Seminorms and *-Representations of Partial *-Algebras

Fabio Bagarello[1], A. Inoue[2] and Camillo Trapani[3]

(1) Università degli Studi di Palermo, Italy
(2) Fukuoka University, Japan
(3) Università degli Studi di Palermo, Italy

The main purpose of this paper is to construct *-representations from unbounded $C$*-seminorms on partial *-algebras and to investigate their *-representations.

Keywords: Partial *-algebras, quasi *-algebras, unbounded $C$*-seminorms, (unbounded) *- representations

Bagarello Fabio, Inoue A., Trapani Camillo: Unbounded $C$*-Seminorms and *-Representations of Partial *-Algebras. Z. Anal. Anwend. 20 (2001), 295-314. doi: 10.4171/ZAA/1017