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Convex Sets in Real Linear Spaces
Department of Mathematics, University of Craiova .
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. UiT, The Artic University of Norway, Campus Narvik .
2018 (English)In: Convex Functions and Their Applications: A Contemporary Approach, Cham: Springer, 2018, p. 71-106Chapter in book (Refereed)
Abstract [en]

The natural domain for a convex function is a convex set. In this chapter we review some basic facts, necessary for a deep understanding of the concept of convexity in real linear spaces. For reader’s convenience, all results concerning the separation of convex sets in Banach spaces are stated in Section 2.2 with proofs covering only the particular (but important) case of Euclidean spaces. Full details in the general case are to be found in Appendix  B

Place, publisher, year, edition, pages
Cham: Springer, 2018. p. 71-106
Series
CMS Books in Mathematics, ISSN 1613-5237
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-69578DOI: 10.1007/978-3-319-78337-6_2ISBN: 978-3-319-78336-9 (print)ISBN: 978-3-319-78337-6 (electronic)OAI: oai:DiVA.org:ltu-69578DiVA, id: diva2:1219109
Available from: 2018-06-15 Created: 2018-06-15 Last updated: 2018-06-15Bibliographically approved

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Persson, Lars-Erik

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