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International relations. Foreign policy --- International economic relations --- United Nations --- 341.65 --- 339.982

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Functional analysis --- 517.982 --- Linear spaces with topology and order or other structures --- Bornological spaces. --- 517.982 Linear spaces with topology and order or other structures --- Bornological spaces --- Spaces, Bornological --- Linear topological spaces --- Espaces fonctionnels --- Function spaces

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The contributions collected in this volume exhibit the increasingly wide spectrum of applications of abstract order theory in analysis and show the possibilities of order-theoretical argumentation.The following areas are discussed: potential theory, partial differential operators of second order, Schrodinger operators, theory of convexity, one-parameter semigroups, Lie algebras, Markov processes, operator-algebras, noncommutative integration and geometry of Banach spaces.

Functional analysis --- Schaefer, Helmut H. --- 517.982 --- 517.982 Linear spaces with topology and order or other structures --- Linear spaces with topology and order or other structures --- Congresses --- Schaefer, H. H.

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If one takes the intuitive point of view that a system is a black box whose inputs and outputs are time functions or time series it is natural to adopt an operator theoretic approach to the stUdy of such systems. Here the black box is modeled by an operator which maps an input time function into an output time function. Such an approach yields a unification of the continuous (time function) and discrete (time series) theories and simultaneously allows one to formulate a single theory which is valid for time-variable distributed and nonlinear systems. Surprisingly, however, the great potential for such an approach has only recently been realized. Early attempts to apply classical operator theory typically having failed when optimal controllers proved to be non-causal, feedback systems unstable or coupling networks non-lossless. Moreover, attempts to circumvent these difficulties by adding causality or stability constraints to the problems failed when it was realized that these time based concepts were undefined and; in fact, undefinable; in the Hilbert and Banach spaces of classical operator theory.

Mathematical control systems --- 517.982 --- 519.7 --- 519.8 --- 681.3*G --- Linear spaces with topology and order or other structures --- Mathematical cybernetics --- Operational research --- Mathematics of computing --- Engineering & Applied Sciences --- Computer Science --- 681.3*G Mathematics of computing --- 519.8 Operational research --- 519.7 Mathematical cybernetics --- 517.982 Linear spaces with topology and order or other structures --- Theorie du controle

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Analytical spaces --- Linear topological spaces --- Banach lattices --- Linear operators --- Positive operators --- 517.982 --- Linear spaces with topology and order or other structures --- 517.982 Linear spaces with topology and order or other structures --- Espaces vectoriels topologiques --- Opérateurs linéaires --- Opérateurs positifs --- Espaces vectoriels topologiques ordonnés --- Linear topological spaces, Ordered --- Espaces vectoriels topologiques ordonnés. --- Espaces vectoriels topologiques ordonnés.