scientific article

zbMath0425.46019MaRDI QIDQ3860350

G. Ya. Lozanovskij, A. V. Bukhvalov

Publication date: 1978

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zbMATH Keywords

spaces of measurable functionsYosida-Hewitt theoremrepresentation of linear functionalsmeasurable vector-valued functionssets closed in measure

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) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Banach lattices (46B42) General theory of locally convex spaces (46A03) Lattices of continuous, differentiable or analytic functions (46E05) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered topological linear spaces, vector lattices (46A40) Compactness in topological linear spaces; angelic spaces, etc. (46A50) Functional analytic lifting theory (46G15)

Related Items (15)

Nuclear operators on the Banach space of vector-valued essentially bounded measurable functions ⋮ Order-weakly compact operators from vector-valued function spaces to Banach spaces ⋮ Integration in Orlicz-Bochner spaces ⋮ Yosida-Hewitt type decompositions for weakly compact operators and operator-valued measures ⋮ Decompositions for weakly compact operators on the space of totally measurable functions ⋮ On some topological properties of vector-valued function spaces ⋮ Second dual projection characterizations of three classes of \(L_0\)-closed, convex, bounded sets in \(L_1\) ⋮ Fixed point properties for semigroups of nonlinear mappings and amenability ⋮ Second dual projection characterizations of three classes of \(L^0\)-closed, convex, bounded sets in \(L^1\): non-commutative generalizations ⋮ Conditional weak compactness and weak sequential completeness in vector-valued function spaces ⋮ Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings ⋮ Some fixed point results on \(L\)-embedded Banach spaces ⋮ \(L\)-embedded Banach spaces and measure topology ⋮ Applications of the method of compactness and decomposition: minimization, convergence of martingales, multivalued Fatou lemma ⋮ Mackey topologies on vector-valued function spaces

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