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Convex sets and locally convex spaces

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Topological Vector Spaces

Part of the book series: Elements of Mathematics

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Abstract

In §§ 2 to 1 of this chapter, we shall be concerned only with vector spaces and affine spaces over the field of real numbersR, and when we speak of a vector space or an affine space without giving its division ring of scalars explicitly, then it is to be understood that this division ring is the fieldR. For vector spaces onC, see § 8.

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© 2003 Springer-Verlag Berlin Heidelberg

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Bourbaki, N. (2003). Convex sets and locally convex spaces. In: Topological Vector Spaces. Elements of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61715-7_2

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  • DOI: https://doi.org/10.1007/978-3-642-61715-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42338-6

  • Online ISBN: 978-3-642-61715-7

  • eBook Packages: Springer Book Archive

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