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Description of  Function Spaces and Operators between them (RSME Springer Series, 11)

The aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of continuous, analytic and smooth functions as well as sequence spaces. Operators of differentiation, integration, composition, multiplication and partial differential operators between those spaces are studied. A brief introduction to Laurent Schwartzs theory of distributions and to Lars Hrmanders approach to linear partial differential operators is presented. Read more