Articles with "compact sets" as a keyword



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Borsuk Number for Planar Convex Bodies

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Published in 2019 at "Results in Mathematics"

DOI: 10.1007/s00025-019-1135-3

Abstract: By using some simple tools from graph theory, we obtain a characterization of the compact sets in $$\mathbb {R}^n$$ with Borsuk number equal to two. This result allows to give some examples of planar (convex)… read more here.

Keywords: borsuk number; number equal; number; planar convex ... See more keywords
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Polynomials and holomorphic functions on A-compact sets in Banach spaces

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Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.03.070

Abstract: Abstract In this paper we study the behavior of holomorphic mappings on A -compact sets. Motivated by the recent work of Aron, Caliskan, Garcia and Maestre (2016), we give several conditions (on the holomorphic mappings… read more here.

Keywords: sets banach; banach spaces; holomorphic functions; polynomials holomorphic ... See more keywords