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Record Nr. |
UNISA996466523603316 |
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Autore |
Roth Walter |
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Titolo |
Operator-Valued Measures and Integrals for Cone-Valued Functions [[electronic resource] /] / by Walter Roth |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 |
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ISBN |
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Edizione |
[1st ed. 2009.] |
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Descrizione fisica |
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1 online resource (X, 356 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1964 |
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Disciplina |
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Soggetti |
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Measure theory |
Functional analysis |
Measure and Integration |
Functional Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. 345-352) and index. |
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Nota di contenuto |
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Locally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact Spaces. |
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Sommario/riassunto |
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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. |
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