Browsing by Subject "Banach space"
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(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 ...