Radon Integrals : An abstract approach to integration and Riesz representation through function cones

Language: English

Published by Birkhäuser, 1992

0817636307 / 9780817636302

Series: Book 16 of 170 - Progress in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - In topological measure theory, Radon measures are the most important objects. In the context of locally compact spaces, there are two equivalent canonical definitions. As a set function, a Radon measure is an inner compact regular Borel measure, finite on compact sets. As a functional, it is simply a positive linear form, defined on the vector lattice of continuous real-valued functions with compact support. During the last few decades, in particular because of the developments of modem probability theory and mathematical physics, attention has been focussed on measures on general topological spaces which are no longer locally compact, e.g. spaces of continuous functions or Schwartz distributions. For a Radon measure on an arbitrary Hausdorff space, essentially three equivalent definitions have been proposed: As a set function, it was defined by L. Schwartz as an inner compact regular Borel measure which is locally bounded. G. Choquet considered it as a strongly additive right continuous content on the lattice of compact subsets. Following P.A. Meyer, N. Bourbaki defined a Radon measure as a locally uniformly bounded family of compatible positive linear forms, each defined on the vector lattice of continuous functions on some compact subset. …

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Title
Radon Integrals : An abstract approach to integration and Riesz representation through function cones
Author
C. Portenier
Publisher
Birkhäuser
Publication year
1992
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0817636307
ISBN 13
9780817636302
Item weight
682 grams
Dimensions
241x160x25 mm
Series
Book 16 of 170: Progress in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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