Abstract
We study two Kadec-Klee properties with respect to coordinatewise convergence and with respect to uniform convergence. We shall give full criteria for these properties in Calderón-Lozanovskiĭ sequence spaces. In particular, we obtain the characterizations of Kadec-Klee properties in Orlicz-Lorentz spaces, which have not been known in such generality until now.
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P. Kolwicz’s study was supported partially by the State Committee for Scientific Research, Poland, Grant N N201 362236.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Kolwicz, P. Kadec-Klee properties of Calderón-Lozanovskiĭ sequence spaces. Collect. Math. 63, 45–58 (2012). https://doi.org/10.1007/s13348-010-0015-7
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DOI: https://doi.org/10.1007/s13348-010-0015-7