Advanced Functional Analysis [Hardcover]

1. Introduction and Notations. 2. Linear Topological Spaces. 3. Linear Metric Spaces. 4. Banach Spaces. 5. Hilbert Spaces. 6.Banach Algebras. 7. Measures of Noncompactness. 8. Fredholm Theory. 9. Sequence Spaces. 10. Fixed Point Theory.

This 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.

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.

Eberhard Malkowsky is a Full Professor at the Department of Mathematics of the Faculty of Sciences at the State University of Novi Pazar in Serbia. He obtained his Ph.D. degree and habilitation at the Department of Mathematics of the Justus-Liebig Universit?t Giessen in Germany in 1982 and 1988, respectively; the titles of his theses were Toeplitz-Kriterien f?r Matrizenklassen bei R?umen absolut und stark limitierbarer FolgenlӀ