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Article overview
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Komlos Properties in Banach Lattices | E. Y. Emelyanov
; N. Erkursun Ozcan
; S. G. Gorokhova
; | Date: |
6 Oct 2017 | Abstract: | Several Koml’os like properties in Banach lattices are investigated. We
prove that $C(K)$ fails the $oo$-pre-Koml’os property, assuming that the
compact Hausdorff space $K$ has a nonempty separable open subset $U$ without
isolated points such that every $uin U$ has countable neighborhood base. We
prove also that for any infinite dimensional Banach lattice $E$ there is an
unbounded convex $uo$-pre-Koml’os set $Csubseteq E_+$ which is not
$uo$-Koml’os. | Source: | arXiv, 1710.2580 | Services: | Forum | Review | PDF | Favorites |
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