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Bounded elements in certain topological partial *-algebras

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Antoine J.-P., Trapani C., Tschinke F.

Studia Mathematica

2011

tom 203

nr 3

223-251

We continue our study of topological partial *-algebras, focusing on the interplay between various partial multiplications. The special case of partial *-algebras of operators is examined first, in particular the link between strong and weak multiplications, on one hand, and invariant positive sesquilinear (ips) forms, on the other. Then the analysis is extended to abstract topological partial *-algebras, emphasizing the crucial role played by appropriate bounded elements, called ℳ-bounded. Finally, some remarks are made concerning representations in terms of so-called partial GC*-algebras of operators.

Ograniczanie wyników

1 Studia Mathematica

1 Antoine J.-P.

1 Trapani C.

1 Tschinke F.

1 2011

Wyniki wyszukiwania

Bounded elements in certain topological partial *-algebras