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Vector Measures, Integration and Integral Representation Theory - Tapa blanda

Meziani, Lakhdar; Khan, Liaqat Ali

 
9786202349543: Vector Measures, Integration and Integral Representation Theory
Tapa blanda
ISBN 10: 6202349549 ISBN 13: 9786202349543
Editorial: Noor Publishing, 2018

Sinopsis

The aim of this work is intended to present a unified, mostly self-contained, survey of the theory of integral representation of bounded operators in topological spaces. It is written for the graduate students who are familiar with abstract measure and integration, and also with the main topics of Banach spaces and topological vector spaces. A lot of work has been done on various extensions of this theorem and it is still the object of many investigations. The objective of this work is a presentation of some prominent generalizations of Riesz Theorem, frequently used in the literature. Each representation theorem considered here has its own integration process which goes through duality of function spaces. We will essentially be concerned by the following settings: In the first part, we consider Banach spaces X,Y , and form the Banach space C(S,X) of all continuous functions from the compact space S into X, equipped with the uniform norm. In the second part, the objective is to go beyond the Banach space setting, to X a topological vector space context.

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Editorial
Noor Publishing
Año de publicación
2018
Idioma
Inglés
ISBN 10 
6202349549
ISBN 13 
9786202349543
Encuadernación
Tapa blanda
Número de páginas
168
Contacto del fabricante
no disponible
Persona responsable
no disponible