Since its inception in the early 20th century, Functional Analysis
has become a core part of modern mathematics. This accessible and
lucid textbook will guide students through the basics of Functional
Analysis and the theory of Operator Algebras. The text begins with
a review of Linear Algebra and Measure Theory. It progresses to
concepts like Banach spaces, Hilbert spaces, Dual spaces and Weak
Topologies. Subsequent chapters introduce the theory of operator
algebras as a guide to study linear operators on a Hilbert space
and cover topics such as Spectral Theory and C*-algebras. Theorems
have been introduced and explained through proofs and examples, and
historical background to the mathematical concepts have been
provided wherever appropriate. At the end of chapters, practice
exercises have been segregated in a topic-wise manner for targeted
practice, making the book ideal both for classroom teaching as well
as self-study.
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