Journal of Convex Analysis 17 (2010), No. 1, 111--130
Copyright Heldermann Verlag 2010
Points of Upper Local Uniform Monotonicity in Calderón-Lozanovskii Spaces
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
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.
Keywords: Koethe spaces, Calderon-Lozanovskii spaces, points of upper local uniform monotonicity, local monotonicity properties.
MSC: 46E30, 46B20, 46B42, 46B45
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