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

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

Operator-Valued Measures and Integrals for Cone-Valued Functions (Lecture Notes
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Operator-Valued Measures and Integrals for Cone-Valued Functions (Lecture Notes in Mathematics, 1964) Paperback - 2009

by Roth, Walter

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Springer, 2009-02-05. 2009. paperback. Used: Good. 6.10x0.84x9.25. Buy with confidence. Excellent Customer Service & Return policy.
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Reader reviews for Operator-Valued Measures and Integrals for Cone-Valued Functions (Lecture Notes in Mathematics, 1964)

From the publisher

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.

From the rear cover

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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