Search results for "Riesz–Thorin theorem"

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A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting

2015

Abstract A Kurzweil-Henstock type integral with respect to an abstract derivation basis in a topological measure space, for Riesz space-valued functions, is studied. A Hake-type theorem is proved for this integral, by using technical properties of Riesz spaces.

Pure mathematicsWeak convergenceRiesz representation theoremRiesz potential(D)-convergenceGeneral MathematicsD-convergenceMathematical analysisMathematics::Classical Analysis and ODEsHilbert spaceRiesz spaceRiesz spaceKurzweil-Henstock integralRiesz space order convergence D-convergence Kurzweil-Henstock integral Hake theoremHake theoremsymbols.namesakeRiesz–Fischer theoremM. Riesz extension theoremorder convergencesymbolsMathematics (all)Riesz–Thorin theoremMathematics
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A theorem of insertion and extension of functions for normal spaces

1993

Discrete mathematicsPure mathematicsArzelà–Ascoli theoremIsomorphism extension theoremFréchet spaceGeneral MathematicsClosed graph theoremRiesz–Thorin theoremOpen mapping theorem (functional analysis)Brouwer fixed-point theoremMathematicsCarlson's theoremArchiv der Mathematik
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