02705nam 2200589 450 99646662500331620220304133218.03-540-47079-410.1007/BFb0089190(CKB)1000000000437117(SSID)ssj0000325428(PQKBManifestationID)12102601(PQKBTitleCode)TC0000325428(PQKBWorkID)10321427(PQKB)10970226(DE-He213)978-3-540-47079-3(MiAaPQ)EBC5592723(Au-PeEL)EBL5592723(OCoLC)1066178613(MiAaPQ)EBC6842553(Au-PeEL)EBL6842553(PPN)155185403(EXLCZ)99100000000043711720220304d1992 uy 0engurnn|008mamaatxtccrOrdered cones and approximation /Klaus Keimel, Walter Roth1st ed. 1992.Berlin :Springer-Verlag,[1992]©19921 online resource (VI, 142 p.) Lecture notes in mathematics ;1517Bibliographic Level Mode of Issuance: Monograph3-540-55445-9 Locally convex cones -- Uniformly continuous operators and the dual cone -- Subcones -- Approximation -- Nachbin cones -- Quantitative estimates.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.Lecture notes in mathematics (Springer-Verlag) ;1517.Approximation theoryApproximation theory.511.4Keimel Klaus54499Roth Walter1947-MiAaPQMiAaPQMiAaPQBOOK996466625003316Ordered cones and approximation262345UNISA