Operator-Valued Measures and Integrals for Cone-Valued Functions: 1964 (Lecture Notes in Mathematics) - Tapa blanda

Roth, Walter

 
9783540875642: Operator-Valued Measures and Integrals for Cone-Valued Functions: 1964 (Lecture Notes in Mathematics)
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ISBN 10: 3540875646 ISBN 13: 9783540875642
Editorial: Springer, 2009

Sinopsis

Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures whereas suprema and infima are replaced with topological limits in the vector-valued case.

A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases.

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

De la contraportada

Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures, whereas suprema and infima are replaced with topological limits in the vector-valued case.

A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases.

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

Editorial
Springer
Año de publicación
2009
Idioma
Inglés
ISBN 10 
3540875646
ISBN 13 
9783540875642
Encuadernación
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Número de páginas
372
Contacto del fabricante
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783540875901: Operator-Valued Measures and Integrals for Cone-Valued Functions

Edición Destacada

ISBN 10:  3540875905 ISBN 13:  9783540875901
Editorial: Springer, 2009
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