Geodesic
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) no. 2, pp. 231-247 Cet article a éte moissonné depuis la source Library of Science

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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 M_ba(Σ,(X,Y)). This generalizes a recent result of the author characterizing conditionally weakly compact subsets of the space of nuclear operator valued measures M_ba(Σ,₁(X,Y)). This result has interesting applications in optimization and control theory as illustrated by several examples.
Keywords: space of operator valued measures, weak compactness, semigroups of bounded linear operators, optimal structural control 
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Ahmed, N. 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) no. 2, pp. 231-247. http://geodesic.mathdoc.fr/item/DMDICO_2011_31_2_a5/

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