This text, Functional Analysis, based on the lecture notes of distinguished authors, is designed to cater to the needs of students who are yet to be exposed to the subject, as well as senior undergraduate- and graduate-level students at universities the world over. This text begins with a preliminary chapter that establishes uniform notations and covers background material in real analysis, linear algebra and metric spaces. It is followed by chapters on Normed and Banach Spaces, Bounded Linear Operators and Bounded Linear Functional. This text also deals with the concept and specific geometry of Hilbert Spaces, Functional and Operators on Hilbert Spaces and Introduction to Spectral Theory. The appendix provides an introduction to Schauder Bases. The first edition of this text was published in 1995. Since then, many mathematical developments have taken place and the authors, too, have revised their lecture notes to provide further clarity for their students. As a result, the second edition, written in a more simple and lucid language and illustrated with familiar examples, should be an ideal textbook for easy comprehension of the subject. The clear explanations, numerous examples, problems and illustrative figures also make the text invaluable for self-study and as a reference book.
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