Points of Upper Local Uniform Monotonicity in Calderón-Lozanovskii Spaces

Pawel Kolwicz; Ryszard Pluciennik

Abstract

We start with some results concerning ULUM and UM points in general Köthe sequence spaces. Next we present full characterization of ULUM points in Calderón-Lozanovskii spaces. In particular, we obtain the respective criteria for ULUM points in Orlicz-Lorentz spaces and Orlicz spaces.

Author information

Contact details are reproduced from the original publication and may be historical.

Pawel Kolwicz

Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, 60-965 Poznan, Poland

pawel.kolwicz@put.poznan.pl

Ryszard Pluciennik

Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, 60-965 Poznan, Poland

ryszard.pluciennik@put.poznan.pl

Keywords

Koethe spaces
Calderon-Lozanovskii spaces
points of upper local uniform monotonicity
local monotonicity properties

Mathematics Subject Classification

46E30, 46B20, 46B42, 46B45

Suggested citation

P. Kolwicz, R. Pluciennik. “Points of Upper Local Uniform Monotonicity in Calderón-Lozanovskii Spaces.” Journal of Convex Analysis 17 (2010), No. 1, 111–130.