Table of Contents

1. An Excursion into Set Theory.- 2. Vector Spaces.- 3. Convex Analysis.- 4. An Excursion into Metric Spaces.- 5. Multinormed and Banach Spaces.- 6. Hilbert Spaces.- 7. Principles of Banach Spaces.- 8. Operators in Banach Spaces.- 9. An Excursion into General Topology.- 10. Duality and Its Applications.- 11. Banach Algebras.- References.- Notation Index.