2 resultados para Submaximal and maximal variables

em Bucknell University Digital Commons - Pensilvania - USA


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A uniform algebra A on its Shilov boundary X is maximal if A is not C(X) and no uniform algebra is strictly contained between A and C(X) . It is essentially pervasive if A is dense in C(F) whenever F is a proper closed subset of the essential set of A. If A is maximal, then it is essentially pervasive and proper. We explore the gap between these two concepts. We show: (1) If A is pervasive and proper, and has a nonconstant unimodular element, then A contains an infinite descending chain of pervasive subalgebras on X . (2) It is possible to find a compact Hausdorff space X such that there is an isomorphic copy of the lattice of all subsets of N in the family of pervasive subalgebras of C(X). (3) In the other direction, if A is strongly logmodular, proper and pervasive, then it is maximal. (4) This fails if the word “strongly” is removed. We discuss examples involving Dirichlet algebras, A(U) algebras, Douglas algebras, and subalgebras of H∞(D), and develop new results that relate pervasiveness, maximality, and relative maximality to support sets of representing measures.

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This manuscript focuses on development assistance players’ efforts to cooperate, coordinate and collaborate on projects of mutual interest. I target the case of the cross-sectoral and international Media Issues Group designed to reform and develop the media sector in Bosnia and Herzegovina. I identify and categorize variables that influenced interorganizational relationships to summarize lessons learned and potentially inform similar interventions. This work suggests that cooperation, coordination and collaboration are constrained by contextual, strategic and procedural variables. Through participant narrative based on observation and interviews, this work clarifies the nuances within these three sets of variables for potential extrapolation to other settings. Perhaps more importantly, it provides lessons learned that can inform future international community interventions in market development activities.