6533b81ffe1ef96bd1277af5
RESEARCH PRODUCT
Bounded elements in certain topological partial *-algebras
Camillo TrapaniFrancesco TschinkeJean-pierre Antoinesubject
Pure mathematicsGeneral MathematicsBounded elementMathematics - Rings and AlgebrasPrimary 47L60 Secondary 46H15Topologypartial *-algebrasAlgebraRings and Algebras (math.RA)Settore MAT/05 - Analisi MatematicaBounded functionFOS: Mathematicsbounded elementsSpecial caseInvariant (mathematics)Mathematicsdescription
We continue our study of topological partial *algebras, focusing our attention to the interplay between the various partial multiplications. The special case of partial *-algebras of operators is examined first, in particular the link between the strong and the 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 the so-called partial GC*-algebras of operators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 |