Rotundity properties in Calderón-Lozanovskií spaces

• Autores: Pawel Kolwicz
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 883-912
• Idioma: inglés
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• Resumen

  • We find criteria for strict and uniform convexity of Calderón-Lozanovskií spaces solving problem XII from [3] and generalizing several theorems, which give only the sufficient (or necessity) conditions (see [2], [4]). In particular we obtain the respective criteria for Orlicz-Lorentz spaces which has been proved directly in [1], [5], [6]. We give also applications to Orlicz spaces generated by the composing of Orlicz functions.