Radon Integrals: An abstract approach to integration and Riesz representation through function cones: 103 (Progress in Mathematics) - Tapa blanda

Libro 16 de 169: Progress in Mathematics

Anger, B.; Portenier, C.

 
9781461267331: Radon Integrals: An abstract approach to integration and Riesz representation through function cones: 103 (Progress in Mathematics)
Tapa blanda
ISBN 10: 1461267331 ISBN 13: 9781461267331
Editorial: Birkhäuser, 2012

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1461267331
ISBN 13 
9781461267331
Encuadernación
Tapa blanda
Número de páginas
344
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780817636302: Radon Integrals: An abstract approach to integration and Riesz representation through function cones: 103 (Progress in Mathematics)

Edición Destacada

ISBN 10:  0817636307 ISBN 13:  9780817636302
Editorial: Birkhäuser, 1992
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