Description: Many important reference works have appeared since Banach's "Theorie des Operations Lineaires"; the impetus for the development of modern space theory. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the general theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who have had a course in real and complex analysis and understand the basic properties of L p spaces. The book is sprinkled liberally with examples, historical notes, citations, and original sources. Over 450 exercises provide students with practice in thereof the results developed in the text through supplementary examples and counterexamples.

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