FUNCTIONAL ANALYSIS is a core subject and has numerous applications in other fields of mathematics as well as physical sciences and engineering. This book is written keeping this fact in mind. Along with a friendly but rigourous treatment, the book gives’ applications of the subject to other branches of mathematics. To attend to a larger audience, the analytical arguments are spelled out in detail with perspicacious comments and insightful remarks. Many of the examples and exercises are new at a book of this level and they are included to serve the aims listed above. The book promotes active learning by means of simple questions peppered along the way and teaches mathematics with a global perspective.

Preface / Normed Linear Spaces / Five Pillars of Functional Analysis / Compact Operators / Dual Spaces and Adjoint Operators / Banach Algebra of Bounded Operators / Spectral Theorem / The Weak and Weak* Topologies / Locally Convex Spaces / Appendix / Bibliography / Index.

Under & Postgraduate Students, Teachers and Researchers