Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook in advanced functional analysis, which is a modern and important field in mathematics, for graduate and postgraduate courses and seminars at universities. At the same time, it enables the interested readers to do their own research.


  • Written in a concise and fluent style
  • Covers a broad range of topics
  • Includes related topics from research.

chapter Chapter 1|24 pages

Fundamentals of Linear and Topological Spaces

chapter Chapter 2|42 pages

Linear Topological Spaces

chapter Chapter 3|32 pages

Linear Metric Spaces

chapter Chapter 4|49 pages

Banach Spaces

chapter Chapter 5|39 pages

Hilbert Spaces

chapter Chapter 6|41 pages

Banach Algebras

chapter Chapter 7|56 pages

Measures of Noncompactness

chapter Chapter 8|48 pages

Fredholm Theory

chapter Chapter 9|43 pages

Linear Topological Spaces

chapter Chapter 10|24 pages

Fixed Point Theory