Journal of Convex Analysis 24 (2017), No. 2, 695--705
Copyright Heldermann Verlag 2017
Minimal Representation in a Quotient Space over a Lattice of Unbounded Closed Convex Sets
Jerzy Grzybowski
Faculty of Mathematics and Computer Science, Adam-Mickiewicz-University, Umultowska 87, 61-614 Poznan, Poland
jgrz@amu.edu.pl
Hubert Przybycien
Faculty of Mathematics and Computer Science, Adam-Mickiewicz-University, Umultowska 87, 61-614 Poznan, Poland
hubert@amu.edu.pl
We present conditions under which elements of a quotient space (Minkowski-Radström-Hörmander space) over a lattice of unbounded closed convex sets with common recession cone have inclusion-minimal representation. We also discuss the uniqueness-up-to-translation of minimal representation.
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