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Vectorial integration

In: Elements of Mathematics

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  • Nicolas Bourbaki

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.

Suggested Citation

  • Nicolas Bourbaki, 2004. "Vectorial integration," Springer Books, in: Elements of Mathematics, chapter 0, pages 378-448, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59312-3_8
    DOI: 10.1007/978-3-642-59312-3_8
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