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Functional Analysis by Sergei Ovchinnikov - 9783319915111

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Product Description

Functional AnalysisAn Introductory Course

Author(s): Sergei Ovchinnikov

Format: Paperback

Publisher: Springer International Publishing AG, Switzerland

Imprint: Springer International Publishing AG

ISBN-13: 9783319915111, 978-3319915111

Synopsis

This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Boundedness Theorem, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding these important results. The prerequisites for this book are linear algebra and elementary real analysis, with two introductory chapters providing an overview of material necessary fo.

Functional Analysis by Sergei Ovchinnikov - 9783319915111

Functional AnalysisAn Introductory Course

Author(s): Sergei Ovchinnikov

Format: Paperback

Publisher: Springer International Publishing AG, Switzerland

Imprint: Springer International Publishing AG

ISBN-13: 9783319915111, 978-3319915111

Synopsis

This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Boundedness Theorem, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding these important results. The prerequisites for this book are linear algebra and elementary real analysis, with two introductory chapters providing an overview of material necessary fo.

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