Vectorial integration

Nicolas Bourbaki

Chapter Chapter VI in Elements of Mathematics, 2004, pp 378-448 from Springer

Abstract: Abstract In this chapter, if F denotes a Hausdorff locally convex vector space (over R or C), we denote by F′ its dual, by F″ its bidual, and by F′* the algebraic dual of F′ (the space of all linear forms on F′); F″ is a linear subspace of F′*, and F may be identified (as a vector space without topology) with a linear subspace of F″. We denote by Fσ the vector space F equipped with the weakened topology cr(F, F′); the qualifiers ‘weak’ and ‘weakly’ refer to this topology.

Keywords: Banach Space; Compact Subset; Positive Measure; Compact Space; Complex Measure (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-642-59312-3_8

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