Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Fully representable and -semisimple topological partial -algebras

100%

Antoine J.-P., Bellomonte G., Trapani C.

Studia Mathematica

2012

tom 208

nr 2

167-194

We continue our study of topological partial *-algebras, focusing our attention on *-semisimple partial *-algebras, that is, those that possess a multiplication core and sufficiently many *-representations. We discuss the respective roles of invariant positive sesquilinear (ips) forms and representable continuous linear functionals, and focus on the case where the two notions are completely interchangeable (fully representable partial *-algebras) with the aim of characterizing a *-semisimple partial *-algebra. Finally we describe various notions of bounded elements in such a partial *-algebra, in particular, those defined in terms of a positive cone (order bounded elements). The outcome is that, for an appropriate order relation, one recovers the ℳ-bounded elements introduced in previous works.

Ograniczanie wyników

1 Studia Mathematica

1 Antoine J.-P.

1 Bellomonte G.

1 Trapani C.

1 2012

Wyniki wyszukiwania

Fully representable and -semisimple topological partial -algebras

Ograniczanie wyników

1 Studia Mathematica

1 Antoine J.-P.

1 Bellomonte G.

1 Trapani C.

1 2012

Wyniki wyszukiwania

Fully representable and *-semisimple topological partial *-algebras

Fully representable and -semisimple topological partial -algebras