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ArticleOriginal scientific text

Title

Weak compactness in the space of operator valued measures Mba(Σ,(X,Y)) and its applications

Authors 1

Affiliations

  1. EECS, University of Ottawa, Ottawa, Canada

Abstract

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.

Keywords

ENG
space of operator valued measures, weak compactness, semigroups of bounded linear operators, optimal structural control

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2011/31/2
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Pages:
231-247
Main language of publication
English
Received
2011-07-25
Published
2011

DOI: 10.7151/dmdico.1136

Exact and natural sciences