Browsing Faculty of Natural and Agricultural Sciences by Subject "Banach space"
Now showing items 1-2 of 2
-
Geometric duality theory of cones in dual pairs of vector spaces
(Elsevier, 2015)This paper will generalize what may be termed the “geometric duality theory” of real pre-ordered Banach spaces which relates geometric properties of a closed cone in a real Banach space, to geometric properties of the dual ... -
A strong open mapping theorem for surjections from cones onto Banach spaces
(Elsevier, 2014)We show that a continuous additive positively homogeneous map from a closed not necessarily proper cone in a Banach space onto a Banach space is an open map precisely when it is surjective. This generalization of the ...