A First Course in Functional Analysis

Orr Moshe Shalit

March 7, 2017 by Chapman and Hall/CRC
Textbook - 240 Pages
ISBN 9781498771610 - CAT# K29445

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  • Designed for a 13-week course at the high undergraduate level
  • Does not require measure theory as a prerequisite
  • Develops some of the theory of L2 spaces by functional analytic methods
  • Contains significant applications of the material throughout the text
  • Contains some topics not touched upon in other introductory texts, such as reproducing kernel Hilbert spaces


Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.


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