Introduction to Banach spaces and algebras

PART I INTRODUCTION TO BANACH SPACES 1. Preliminaries 2. Elements of normed spaces 3. Banach spaces PART II BANACH ALGEBRAS 4. Banach algebras 5. Representation theory 6. Algebras with an involution 7. The Borel functional calculus PART III SCV AND BANACH ALGEBRAS 8. Introduction to several complex variables 9. The holomorphic functional calculus in several variables Bibliography Index