[Banach] Abstract of a paper by Jakub Duda
alspach at www.math.okstate.edu
Tue Nov 1 10:59:02 CST 2005
This is an announcement for the paper "Cone monotone mappings:
continuity and differentiability" by Jakub Duda.
Abstract: We generalize some results of Borwein, Burke, Lewis, and
Wang to mappings with values in metric (resp. ordered normed linear)
spaces. We define two classes of monotone mappings between an ordered
linear space and a metric space (resp. ordered linear space):
$K$-monotone dominated and cone-to-cone monotone mappings. First
we show some relationships between these classes. Then, we study
continuity and differentiability (also in the metric and $w^*$
senses) of mappings in these classes.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46T20; 26B25
Remarks: 13 page; better abstract
The source file(s), domdif_prep.tex: 55009 bytes, is(are) stored
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Submitted from: jakub.duda at weizmann.ac.il
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