Titlebook: Composition Operators; and Classical Functi Joel H. Shapiro Textbook 1993 Springer Science+Business Media New York 1993 Complex analysis.De

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Statistische Gesamtheiten des GleichgewichtsSo far we have concentrated on issues of function theory that were motivated by our studies of boundedness, compactness, and spectra for composition operators. Here we begin exploring the function theoretic-consequences of yet another fundamental notion from operator theory, that of .

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Linear Fractional Cyclicity,So far we have concentrated on issues of function theory that were motivated by our studies of boundedness, compactness, and spectra for composition operators. Here we begin exploring the function theoretic-consequences of yet another fundamental notion from operator theory, that of .

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Linear Fractional Prologue, of variable, allowing discs to be replaced by half-planes, and arbitrary points to be regarded as the origin. At a deeper level the linear fractional mappings that take the unit disc into itself provide a class of tractable examples diverse enough to reflect much of the character of more general si

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Compactness: Introduction, composition operators means that each one takes bounded subsets of .. to bounded subsets. The question above asks us to specify precisely how much the inducing map . has to compress the unit disc into itself in order to insure that the operator C., compresses bounded subsets of .. into . ones.

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