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Bilinear integration with positive vector measures

Part of: Special classes of linear operators Set functions, measures and integrals with values in abstract spaces Measures, integration, derivative, holomorphy Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  09 April 2009

Brian Jefferies  and
Paul Rothnie
Paul Rothnie
Affiliation:
School of Mathematics The University of New South WalesNSW 2052Australia e-mail: brianj@maths.unsw.edu.au, rothniep@maths.unsw.edu.au
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Abstract

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The integration of vector (and operator) valued functions with respect to vector (and operator) valued measures can be simplified by assuming that the measures involved take values in the positive elements of a Banach lattice.

MSC classification

Secondary: 28B05: Vector-valued set functions, measures and integrals 46G10: Vector-valued measures and integration 46B42: Banach lattices 47B65: Positive operators and order-bounded operators
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 75 , Issue 2 , October 2003 , pp. 279 - 294
Copyright
Copyright © Australian Mathematical Society 2003

References

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