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Ordered cones and approximation / / Klaus Keimel, Walter Roth



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Autore: Keimel Klaus Visualizza persona
Titolo: Ordered cones and approximation / / Klaus Keimel, Walter Roth Visualizza cluster
Pubblicazione: Berlin : , : Springer-Verlag, , [1992]
©1992
Edizione: 1st ed. 1992.
Descrizione fisica: 1 online resource (VI, 142 p.)
Disciplina: 511.4
Soggetto topico: Approximation theory
Persona (resp. second.): RothWalter <1947->
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: Locally convex cones -- Uniformly continuous operators and the dual cone -- Subcones -- Approximation -- Nachbin cones -- Quantitative estimates.
Sommario/riassunto: This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.
Titolo autorizzato: Ordered cones and approximation  Visualizza cluster
ISBN: 3-540-47079-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466625003316
Lo trovi qui: Univ. di Salerno
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Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1517.