Kadec-Klee Properties of Calderón-Lozanovskiĭ Function Spaces. (25th December 2011)

• Record Type: Journal Article
• Authors: Kolwicz, Paweł
• Other Names: Hudzik Henryk Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2012(2012)
• Publication Date: 2011-12-25
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2012/314068
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We study Kadec-Klee properties with respect to global (local) convergence in measure. First, we present some results concerning Köthe spaces and Orlicz functions. Next, we shall give full criteria for Kadec-Klee properties with respect to global (local) convergence in measure in Calderón-Lozanovskiĭ function spaces. In particular, we obtain the full characterizations of Kadec-Klee properties in Orlicz-Lorentz function spaces, which have not been presented until now.