Advanced Functional Analysis: 1st Edition (Hardback) book cover

Advanced Functional Analysis

1st Edition

By Eberhard Malkowsky, Vladimir Rakočević

CRC Press

446 pages

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pub: 2019-02-18
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Description

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.

Features

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

Table of Contents

Fundamentals of Linear and Topological Spaces

Linear Topological Spaces

Linear Metric Spaces

Banach Spaces

Hilbert Spaces

Banach Algebras

Measures of Noncompactness

Fredholm Theory

Sequence Spaces

Fixed Point Theory

About the Authors

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 Universität Giessen in Germany in 1982 and 1988, respectively; the titles of his theses were Toeplitz-Kriterien für Matrizenklassen bei Räumen absolut und stark limitierbarer Folgen, and Matrix Transformations in a New Class of Sequence Spaces that Includes Spaces of Absolutely and Strongly Summable Sequences. He was a visiting professor at several universities in various countries. Furthermore, he participated as an invited or keynote speaker in numerous international scientific conferences and congresses. He is a member of the editorial boards of many journals of international repute. His list of publications contains more than 160 research papers in international journals. He is the author or co-author of five books, and the editor or co-editor of six proceedings of international conferences. He supervised 6 Ph.D. theses and a great number of B.Sc. and M.Sc theses in mathematics. His interests include functional analysis, summability, matrix transformations, measures of noncompactness and operator theory.

Vladimir Rakocevic is a Full Professor at the Department of Mathematics of the Faculty of Sciences and Mathematics at the University of Niš in Serbia, and a Corresponding Member of the Serbian Academy of Sciences and Arts (SANU) in Belgrade, Serbia. He obtained his Ph.D. degree in mathematics at the Faculty of Sciences of Belgrade University, Serbia, in 1984; the title of his thesis was Essential Spectra and Banach Algebras. He was a visiting professor at several universities and scientific institutions in various countries. Furthermore, he participated as an invited or keynote speaker in numerous international scientific conferences and congresses. He is a member of the editorial boards of many journals of international repute. His list of publications contains more than 150 research papers in international journals and he was included in Thomson Reuters’ list of Highly Cited Authors in 2014. He is the author or co-author of five books. He supervised 5 Ph.D., and more than 50 B.Sc. and M.Sc. theses in mathematics. His research interests include functional analysis, fixed point theory, operator theory, linear algebra and summability.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT004000
MATHEMATICS / Arithmetic
MAT037000
MATHEMATICS / Functional Analysis