On Pointwise Product Vector Measure Duality
DOI:
https://doi.org/10.24297/jam.v20i.8912Keywords:
Measurable sets, Vector measure duality, Integrable functionsAbstract
This article is devoted to the study of pointwise product vector measure duality. The properties of Hilbert function space of integrable functions and pointwise sections of measurable sets are considered through the application of integral representation of product vector measures, inner product functions and products of measurable sets.
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Campo Del R., Fernandez A., Ferrrando I., Mayoral F. and Naranjo F. (2010). Compactness of multiplication
operators on spaces of integrable functions with respect to a vector measure, in vector measure, integration, and related
topics. Birkhauser Verlag, Basel 201, 109-113.
Dorlas T.C. (2010). Reminder notes for the course on measures on topological spaces. Dublin Institute for Advanced
Studies, Dublin, Ireland,10, 1-22.
Okada S., Ricker W. J., and Sanchez P. E. A. (2008). Optimal Domain and Integral Extension of Operators.
Birkhauser, Basel, Switzerland,180, 141-148.
Orange O. L. (2015a). On the Extension of Properties of Cubic Measures. Inter. Math. Forum, Hikari Ltd, 10(3),
-109.
Otanga O. L. (2015b). On the Finiteness and Sigma Finiteness a Cubic Measure Function. Inter. Math. Forum,
Hikari Ltd, 10(3),111-114.
Otanga O. L., Oduor M. O. and Aywa S. O. (2015a). Partition of Measurable Sets. Journal of Advances in
Mathematics, 10 (8), 3759-3763.
Otanga O. L., Oduor M. O. and Aywa S. O. (2015b). On Generation of Measurable Covers for Measurable Sets
Using Multiple Integral of Functions. Journal of Mathematics and Stastical Science, 2015, 32-41.
Rodriguez J. (2006). On Integration of Vector Functions With Respect to Vector Measures. Czechoslovak Math. J.
(3), 805-825.
Sanchez P. E. A. (2004). Vector Measure Duality and Tensor Product Representation of Lp - spaces of Vector
Measures. Amer. Math. Soc 132, 3319-3326
Yaogan M. (2013). Facts About the Fourier-stieltjes Transform of Vector Measures on Compact Groups. Inter. J.
Analy. Appl., 19-25.
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Copyright (c) 2021 Levi Otanga Olwamba, Maurice Oduor
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