Weak compactness in the space of operator valued measures Mba(Σ,(X,Y)) and its applications
N.U. Ahmed
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 31 (2011), p. 231-247 / Harvested from The Polish Digital Mathematics Library
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In this note we present necessary and sufficient conditions characterizing conditionally weakly compact sets in the space of (bounded linear) operator valued measures Mba(Σ,(X,Y)). This generalizes a recent result of the author characterizing conditionally weakly compact subsets of the space of nuclear operator valued measures Mba(Σ,₁(X,Y)). This result has interesting applications in optimization and control theory as illustrated by several examples.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:271180 
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N.U. Ahmed. Weak compactness in the space of operator valued measures $M_ba(Σ,(X,Y))$ and its applications. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 31 (2011) pp. 231-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1136/

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