£41.99

VS Verlag für Sozialwissenschaften Darstellungssätze für beschränkte lineare Funktionale im Zusammenhang mit Hausdorff-, Stieltjes- und Hamburger-Momentenproblemen: 2515 (Forschungsberichte des Landes Nordrhein-Westfalen, 2515)

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Description

In unserer Arbeit [ 7] werden beschrEinkte lineare Funktionale auf verschiedenen R~umen stetiger Funktionen untersucht und zwar die Gultig~eit von Riesz-Darstellungss~tzen. W~hrend wir uns dort auf stetige Funktionen beschr~nken, nehmen wir hier die R~ume Lebesgue-integrierbarer Funktionen hinzu. Ein Aspekt der obigen Arbeit ist der Zusammenhang zwischen dem BV[O,l]-Hausdorff-Momentenproblem und dem C[O,l]-Riesz-Dar stellungssatz: einmal kann man den C[O,l]-Riesz-Satz durch An wendung des BV[O,l]-Hausdorff-Momentenproblems beweisen (vgl. [20], [39]), aber umgekehrt l~~t sich das Hausdorff-Momentenproblem Uber den Riesz-Darstellungssatz IBsen (vgl. [19], [25]). Es stellt sich daher die Frage, ob ein ~hnlicher . Zusammenhang nach gewiesen werden kann zwischen den Riesz-Darstellungss~tzen fUr verschiedene R~ume stetiger bzw. Lebesgue-integrierbarer Funk tionen und gewissen Momentenproblemen mit Belegungsfunktionen aus den dualen R~umen. Dazu wollen wir zun~chst einmal verschiedene Funktionenr~ume definieren. Fur reel Ie Zahlen a und b, a

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
01 January 1975
Listed Since
17 July 2013

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