Integral Decomposition of Partial *-Algebras of Closed Operators

  • Françoise D. Mathot

    Université Catholique de Louvain, Louvain-La-Neuve, Belgium


A method of direct integral decomposition for very general classes of unbounded closed operators is developed. This method is applied to the reduction theory of partial *-algebras and Op*-algebras. As a consequence, representations of partial *-algebras are decomposed into irreducible ones and some states are decomposed into extremal states.

Cite this article

Françoise D. Mathot, Integral Decomposition of Partial *-Algebras of Closed Operators. Publ. Res. Inst. Math. Sci. 22 (1986), no. 4, pp. 689–724

DOI 10.2977/PRIMS/1195177628