Operator-Valued Measures and Integrals for Cone-Valued Functions (Lecture Notes in Mathematics, Band 1964) - Softcover

Roth, Walter

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

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

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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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540875646
ISBN 13 
9783540875642
Einband
Taschenbuch
Anzahl der Seiten
372
Kontakt zum Hersteller
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Poststr. 9
Darmstadt
64293
Deutschland

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

Vorgestellte Ausgabe

ISBN 10:  3540875905 ISBN 13:  9783540875901
Verlag: Springer, 2009
Softcover