Metric Spaces. Linear Metric Spaces. Basic Theorems on Normed Linear Spaces. Spaces of Bounded Linear Functionals. Hilbert Spaces. Banach Algebras. Operator Theory (Part I). Operator Theory (Part II). Fixed Point Theory. Nonlinear Operators and Applications. Sequence Spaces and Matrix Transformations. Appendices: Further Applications: Best Approximation in Normed Linear Spaces; Further Applications: Frechet Derivatives and Computational Method in Banach Spaces; Review: Measure and Integration. References. Index.

The principles of functional analysis and its basic metric and topological concepts are discussed in this volume, which concentrates on four fundamental theorems: open mapping; closed graph; the Banach-Steinhaus theorem and the functional analysis-Hahn-Banach theorem.