Kadec-Klee Properties of Calderón-Lozanovskiĭ Function Spaces

الملخص EN

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.