[Banach] Abstract of a paper by Jakub Duda

[Dale Alspach]

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
in gzipped form as 0510678.gz with size 16kb. The corresponding
postcript file has gzipped size 56kb.

Submitted from: jakub.duda at weizmann.ac.il

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 http://front.math.ucdavis.edu/math.FA/0510678

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 http://arXiv.org/abs/math.FA/0510678

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