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Algebras of bounded operators are familiar, either as C*-algebras
or as von Neumann algebras. A first generalization is the notion of
algebras of unbounded operators (O*-algebras), mostly developed by
the Leipzig school and in Japan (for a review, we refer to the
monographs of K. Schmudgen 1990] and A. Inoue 1998]). This volume
goes one step further, by considering systematically partial
*-algebras of unbounded operators (partial O*-algebras) and the
underlying algebraic structure, namely, partial *-algebras. It is
the first textbook on this topic.
Algebras of bounded operators are familiar, either as C*-algebras
or as von Neumann algebras. A first generalization is the notion of
algebras of unbounded operators (O*-algebras), mostly developed by
the Leipzig school and in Japan (for a review, we refer to the
monographs of K. SchmA1/4dgen [1990] and A. Inoue [1998]). This
volume goes one step further, by considering systematically partial
*-algebras of unbounded operators (partial O*-algebras) and the
underlying algebraic structure, namely, partial *-algebras. It is
the first textbook on this topic.
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