Kadec-Klee properties of Calderón-Lozanovskiĭ sequence spaces

• Autores: Pawel Kolwicz
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 63, Fasc. 1, 2012, págs. 45-58
• Idioma: inglés
• DOI: 10.1007/s13348-010-0015-7
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• Resumen

  • 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.