Functional Analysis is primarily concerned with the structure of
infinite dimensional vector spaces and the transformations, which
are frequently called operators, between such spaces. The elements
of these vector spaces are usually functions with certain
properties, which map one set into another. Functional analysis
became one of the success stories of mathematics in the 20th
century, in the search for generality and unification.
Although it remains a very attractive field of pure mathematics,
it has also proven to be an indispensable and powerful tool for
physicists, engineers and economists involved in research and
development, for helping them understand their subject in depth.
This book is designed to provide the reader with a solid foundation
of almost the entire spectrum of functional analysis, upon which
each reader may build their own special structure, tailored to his
or her purposes. The only prerequisite is the familiarity with the
classical analysis of standard level. The book then provides a
smooth but fast-paced systematical passage to the required advanced
mathematical level, without sacrificing the mathematical rigor with
almost no reference to outside materials to offering also a
complete coverage of this discipline. We believe that the latter is
one of the unique features of this book. None of the books in
literature cover that much material, starting from a rather modest
mathematical level.
Functional Analysis will be primarily of interest to graduate
students in applied mathematics, in all branches of engineering, in
physical and economical sciences and to those working in research
and development in industry and research institutes.
General
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