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Large separated sets of unit vectors in Banach spaces of continuous functions
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SYSNO ASEP 0506888 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Large separated sets of unit vectors in Banach spaces of continuous functions Author(s) Cúth, M. (CZ)
Kurka, Ondřej (MU-W) RID, SAI, ORCID
Vejnar, B. (CZ)Source Title Colloquium Mathematicum. - : Polska Akademia Nauk - ISSN 0010-1354
Roč. 157, č. 2 (2019), s. 173-187Number of pages 15 s. Language eng - English Country PL - Poland Keywords Banach space ; nonseparable space Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000477075600002 EID SCOPUS 85069806327 DOI 10.4064/cm7648-1-2019 Annotation The paper concerns the problem of whether a nonseparable C(K) space must contain a set of unit vectors whose cardinality equals the density of C(K), and such that the distances between any two distinct vectors are always greater than . We prove that this is the case if the density is at most gamma, and that for several classes of C(K) spaces (of arbitrary density) it is even possible to find such a set which is 2-equilateral, that is, the distance between two distinct vectors is exactly 2. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2020 Electronic address http://dx.doi.org/10.4064/cm7648-1-2019
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