Introduction to hilbert spaces with applications

Offering an overview of the basic ideas and results of Hilbert space theory and functional analysis, this book aims to acquaint students with the Lebesgue integral. It also includes a presentation of results and proofs. It features examples which apply to optimization, variational and control proble [...]
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Offering an overview of the basic ideas and results of Hilbert space theory and functional analysis, this book aims to acquaint students with the Lebesgue integral. It also includes a presentation of results and proofs. It features examples which apply to optimization, variational and control problems, and problems in approximation theory.