Elements of Functional Analysis

This is a graduate text on functional analysis. After presenting the f undamental function spaces and their duals, the authors study topics i n operator theory and finally develop the theory of distributions up t o significant applications such as Sobolev spaces and Dirichlet proble ms. Along the way, the reader is presented with a truly remarkable as sortment of well formulated and interesting exercises, which test the understanding as well as point out many related topics. The answers an d hints that are not already contained in the statements of the exerci ses are collected at the end of the book.