This book introduces the reader to the basic principles of
functional analysis theory that are close to nonlinear analysis and
topology. The presentation is self-contained, including many
folklore results, and the proofs are accessible to students with
the usual background in real analysis and topology. Several results
are published here for the first time in a monograph. The text can
be used in graduate courses or for independent study. It includes a
large number of exercises of different levels of difficulty,
accompanied by hints. The book is also directed to young
researchers in functional analysis and can serve as a reference
book, to areas of Banach space.
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