Komls properties in Banach lattices

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2018-08-01

Author

Emelyanov, Eduard
Gorokhova, S. G.

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Several Komls like properties in Banach lattices are investigated. We prove that C(K) fails the -pre-Komls property, assuming that the compact Hausdorff space K has a nonempty separable open subset U without isolated points such that every u U has countable neighborhood base. We prove also that, for any infinite dimension al Banach lattice E, there is an unbounded convex uo-pre-Komls set C which is not uo-Komls.

Subject Keywords

Space of continuous functions, Komlos set, Komlos property, Un-convergence, Uo-convergence, O-convergence, Banach lattice

URI

https://hdl.handle.net/11511/40950

Journal

ACTA MATHEMATICA HUNGARICA

DOI

https://doi.org/10.1007/s10474-018-0852-5

Collections

Department of Mathematics, Article

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Citation Formats

E. Emelyanov and S. G. Gorokhova, “Komls properties in Banach lattices,” ACTA MATHEMATICA HUNGARICA, pp. 324–331, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40950.