arXiv:1701.04837 Abstract | arXiv Analytics

arXiv:1701.04837 [math.FA]Abstract References Reviews Resources

On vector measures and extensions of transfunctions

Published 2017-01-17Version 1

We are interested in extending operators defined on positive measures, called here transfunctions, to signed measures and vector measures. Our methods use a somewhat nonstandard approach to measures and vector measures. The necessary background, including proofs of some auxiliary results, is included.

Categories: math.FA

Subjects: 46G10, 28B05, 46B22

Keywords: vector measures, transfunctions, extensions, somewhat nonstandard approach, necessary background

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