Extensions of the representation theorems of Riesz and Fréchet

DOI10.21136/MB.1993.125924zbMATH Open0799.46046OpenAlexW2969964377MaRDI QIDQ4271573

João C. Prandini

Publication date: 17 November 1994

Full work available at URL: https://eudml.org/doc/29078

zbMATH Keywords

functions of bounded variationrepresentation theoremsgeometry of Banach spacesRiesz type representation theoreminterior integralbilinear continuous operators on cartesian productsFréchet type representation theoremlinear continuous operators on spaces of Banach valued regulated functions of several real variablesspaces of regulated functions of a real variable taking values in Banach spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued measures and integration (46G10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (3)

A generalization of the Riesz representation theorem to infinite dimensions ⋮ Representation of strongly truncated Riesz spaces ⋮ Riesz representation theorem, Borel measures and subsystems of second- order arithmetic

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