Radon Integrals

Name: Radon Integrals
Brand: Springer, Basel
SKU: 9780817636302
Price: 105.11 EUR
Availability: InStock

An abstract approach to integration and Riesz representation through function cones

Автор: B. Anger, C. Portenier

Език:

Корици: С твърди корици

Издател: Springer, Basel

Наличност: Външен склад

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105.11 € 205.57 лв

In topological measure theory, Radon measures are the most important objects. In the context of loca...

Информация за книгата

Автор

B. Anger, C. Portenier

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1992

страници

334

EAN

9780817636302

ISBN

0817636307

Enbook ID

01399004

Издател

Springer, Basel

Теглоt

667

Размери

155 x 235 x 20

Пълно описание

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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