Foundations of Functional Analysis

"Foundations of Functional Analysis" provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it covers: basic facts of linear algebra and real analysis; normed spaces, con [...]
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"Foundations of Functional Analysis" provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it covers: basic facts of linear algebra and real analysis; normed spaces, contraction mappings, linear operators between normed spaces and fundamental results on these topics; and hilbert spaces and the representation of continuous linear function with applications. In this self-contained book, all the concepts, results and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.