1: Hilbert Spaces. 2: Operators on Hilbert Space. 3: Banach Spaces. 4: Locally Convex Spaces. 5: Weak Topologies. 6: Linear Operators on a Banach Space. 7: Banach Algebras and Spectral Theory for Operators on a Banach Space. 8: C^* Algebras. 9: Normal Operators on Hilbert Space. 10: Unbounded Operators. 11: Fredholm Theory.
This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general.
From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS
This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general. The student will also appreciate the large number of examples and exercises which have been included.