On sublinear functionals defined on the space of Bochner integrable functions

DOI10.1007/BF02104943zbMath0828.46037OpenAlexW2046838141MaRDI QIDQ1897977

A. A. Tolstonogov, Vladimir V. Goncharov

Publication date: 20 September 1995

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104943

zbMATH Keywords

decompositionintegral representationsublinear functionalsspace of Bochner integrable functionsscalar compactnessexistence of continuous selectionsdecomposable closed nonconvex valuesfamily of lower semicontinuous multivalued mappings

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Selections in general topology (54C65)

Related Items (3)

Continuous selections for a family of nonconvex-valued mappings with noncompact domain ⋮ \(L_p\)-Continuous selections of fixed points of~multifunctions with~ decomposable values. ~II. Relaxation theorems ⋮ Existence and relaxation theorems for extreme continuous selectors of multifunctions with decomposable values

Cites Work

• On a constrained variational problem and the space of horizontal paths
• Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles
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