Abstract
Part 1 Introduction: definitions and historical background L(p)-spaces functional Banach spaces of functions locally convex function spaces. Part 2 Composition operators on L(p)-spaces: definitions, characterizations and examples invertible composition operators compact composition operators normality of composition operators weighted composition operators. Part 3 Composition operators on functional Banach spaces: general characterizations composition operators on spaces H(p)(D), H(p)(D(n)) and H(p)(D(n)) composition operators on H(p)(p(+)) composition operators on l(p)-spaces. Part 4 Composition operators on the weighted locally convex function spaces: introduction, characterization and classical results composition operators on the weighted locally convex function spaces invertible and compact composition operators on weighted function spaces. Part 5 Some applications of composition operators: isometries and composition operators ergodic theory and composition operators dynamical systems and composition operators homomorphisms and composition operators references symbol index subject index.
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