WEAK COMPACTNESS IN THE SPACE OF OPERATOR VALUED MEASURES Mba(Σ,L(X,Y )) AND ITS APPLICATIONS
نویسنده
چکیده
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,L(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,L1(X,Y )). This result has interesting applications in optimization and control theory as illustrated by several examples.
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