Spaces of complex functions and vector measures in incomplete spaces

It is known that the space L1(μ) of complex functions which are integrable with respect to a vector measure μ taking values in a (not neessarily complete) locally convex space is not an ideal, in general. We discuss several natural properties which L1(μ) may or may not possess and consider various i...

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Bibliographic Details
Main Authors: Werner Riker, Martin Väth
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2004/413765