### About this book

- Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory
- Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products
- Offers sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more

Banach spaces provide a framework for linear and nonlinear functional
analysis, operator theory, abstract analysis, probability,
optimization and other branches of mathematics. This book introduces
the reader to linear functional analysis and to related parts of
infinite-dimensional Banach space theory. Key Features: - Develops
classical theory, including weak topologies, locally convex space,
Schauder bases and compact operator theory - Covers Radon-Nikodým
property, finite-dimensional spaces and local theory on tensor
products - Contains sections on uniform homeomorphisms and non-linear
theory, Rosenthal's L1 theorem, fixed points, and more - Includes
information about further topics and directions of research and some
open problems at the end of each chapter - Provides numerous exercises
for practice The text is suitable for graduate courses or for
independent study. Prerequisites include basic courses in calculus and
linear. Researchers in functional analysis will also benefit for this
book as it can serve as a reference book.

**Content Level**: Graduate