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Paperback / softback. New. The problem as to whether or not there exists a lifting of the M't/. Attemps to solve the problem as to whether or not there exists a lifting for an arbitrary M't/. A different and more direct proof of the existence of a lifting was subsequently given by the authors in [65]' A variant of this proof is presented in chapter 4. ISBN 3642885098 9783642885099 [GB]

ISBN10: 3642885098, ISBN13: 9783642885099, [publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K] Softcover Ancien livre de bibliothèque. Légères traces d'usure sur la couverture. Salissures sur la tranche. Edition 1969. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Slight signs of wear on the cover. Soiling on the side. Edition 1969. Ammareal gives back up to 15% of this item's net price to charity organizations.
[Morangis, France] [Publication Year: 1969]

ISBN10: 3642885098, ISBN13: 9783642885099, [publisher: Springer Berlin Heidelberg] Softcover Druck auf Anfrage Neuware - Printed after ordering - The problem as to whether or not there exists a lifting of the M't/. 1 space ) corresponding to the real line and Lebesgue measure on it was first raised by A. Haar. It was solved in a paper published in 1931 [102] by 1. von Neumann, who established the existence of a lifting in this case. In subsequent papers J. von Neumann and M. H. Stone [105], and later on 1. Dieudonne [22], discussed various algebraic aspects and generalizations of the problem. Attemps to solve the problem as to whether or not there exists a lifting for an arbitrary M't/. space were unsuccessful for a long time, although the problem had significant connections with other branches of mathematics. Finally, in a paper published in 1958 [88], D. Maharam established, by a delicate argument, that a lifting of M't/. always exists (for an arbi trary space of a-finite mass). D. Maharam proved first the existence of a lifting of the M't/. space corresponding to a product X = TI {ai,b,} ieI and a product measure J.1= Q9 J.1i' with J.1i{a;}=J.1i{b,}=! for all iE/. ,eI Then, she reduced the general case to this one, via an isomorphism theorem concerning homogeneous measure algebras [87], [88]. A different and more direct proof of the existence of a lifting was subsequently given by the authors in [65]' A variant of this proof is ...

ISBN10: 3642885098, ISBN13: 9783642885099, [publisher: Springer] Softcover pp. 204
[New York, NY, U.S.A.] [Publication Year: 2013]