Monotone and convex \(H^*\)-algebra valued functions (Q1914768)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Monotone and convex \(H^*\)-algebra valued functions |
scientific article; zbMATH DE number 894079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone and convex \(H^*\)-algebra valued functions |
scientific article; zbMATH DE number 894079 |
Statements
Monotone and convex \(H^*\)-algebra valued functions (English)
0 references
29 July 1996
0 references
The author considers functions with values in a \(H^*\)-algebra (i.e., a Banach *-algebra \(A\) with norm defined by a scalar product and such that the involution \(x \to x^*\) satisfies \((xy,z) = (y,x^* z) = (x, zy^*)\) for all \(x,y,z \in A)\). Some classical results about monotone and convex functions as well as the Stieltjes integral are generalized to the case of such functions.
0 references
monotone functions
0 references
\(H^*\)-algebra
0 references
Banach *-algebra
0 references
convex functions
0 references
Stieltjes integral
0 references
0.7600198984146118
0 references
0.7498159408569336
0 references
0.7463871836662292
0 references
0.7463871836662292
0 references
