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RESEARCH PRODUCT
A note on banach partial *-algebras
Jean-pierre AntoineCamillo Trapanisubject
Discrete mathematicsMathematics::Functional AnalysisPure mathematicsApproximation propertyGeneral MathematicsInfinite-dimensional vector functionEberlein–Šmulian theoremBanach spaceInterpolation spaceFinite-rank operatorBanach manifoldLp spaceMathematicsdescription
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 LP-like function spaces and spaces of operators on Hilbert scales.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-04-01 | Mediterranean Journal of Mathematics |