A note on banach partial *-algebras |
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Authors: | Jean-Pierre Antoine Camillo Trapani |
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Institution: | 15. Institut de Physique Théorique, Université Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium 25. Dipartimento di Matematica ed Applicazioni, Università di Palermo, L90123, Palermo, Italy
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Abstract: | A Banach partial *-algebra is a locally convex partial *-algebra whose total space is a Banach space. A Banach partial *-algebra is said to be of type (B) if it possesses a generating family of multiplier spaces that are also Banach spaces. We describe the basic properties of such objects and display a number of examples, namely L p -like function spaces and spaces of operators on Hilbert scales. |
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