Banach Lattices (Paperback, Softcover reprint of the original 1st ed. 1991)

This book is mainly concerned with the theory of Banach lattices and with linear operators defined on, or with values in Banach lattices. Moreover we will always consider more general classes of Riesz spaces so long as this does not involve more complicated constructions or proofs. In particular, we will not treat any phenomena which occur only in the non-Banach lattice situation. Riesz spaces, also called vector lattices, K-lineals, are linear lattices which were first considered by F. Riesz, 1. Kantorovic, and H. Freudenthal. Subse- quently other important contributions came from the Soviet Union (L.V. Kan- torovic, A.J. Judin, A.G. Pinsker, and B.Z. Vulikh), Japan (H. Nakano, T. Oga- sawara, and K. Yosida), and the United States (G. Birkhoff, H.F. Bohnenblust, S. Kakutani, and M.l\f. Stone). In the last twenty-five years the theory rapidly increased. Important con- tributions came from the Dutch school (W.A.J. Luxemburg, A.C. Zaanen) and the Tiibinger school (lI.lI. Schaefer). In the middle seventies the research on this subject was essentially influenced by the books of H.H. Schaefer (1974) and W.A.J. Luxemburg and A.C. Zaanen (1971). More recently other impor- tant books concerning this subject appeared, A.C. Zaanen (1983), H.U. Schwarz (1984), and C.D. Aliprantis and O. Burkinshaw (1985).

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Universitext
Release date:	October 1991
First published:	1991
Authors:	Peter Meyer-Nieberg
Dimensions:	245 x 171 x 23mm (L x W x T)
Format:	Paperback - Trade
Pages:	395
Edition:	Softcover reprint of the original 1st ed. 1991
ISBN-13:	978-3-540-54201-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	3-540-54201-9
Barcode:	9783540542018

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