Browsing by Subject "Banach space"
Now showing items 1-4 of 4
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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 ... -
A study of Dunford–Pettis–like properties with applications to polynomials and analytic functions on normed spaces
(North-West University, 2011)Recall that a Banach space X has the Dunford-Pettis property if every weakly compact operator defined on X takes weakly compact sets into norm compact sets. Some valuable characterisations of Banach spaces with the ... -
A theory of multiplier functions and sequences and its applications to Banach spaces
(North-West University, 2005)"Abstract does not display correctly"
