Borsuk Number for Planar Convex Bodies
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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
Polynomials and holomorphic functions on A-compact sets in Banach spaces
Sign Up to like & getrecommendations! 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
Some results on disjointly weakly compact sets
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DOI: 10.1515/dema-2025-0169
Abstract: Abstract We give an operator characterization of disjointly weakly compact sets and show that disjointly weakly compact sets coincide with reciprocal Dunford-Pettis sets. We compare disjointly weakly compact sets with almost Grothendieck sets, relatively compact… read more here.
Keywords: disjointly weakly; weakly compact; compact sets; results disjointly ... See more keywords