Functional Analysis
An Introductory Course
Paperback
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ISBN-13:
9783319915111
Veröffentl:
2018
Einband:
Paperback
Erscheinungsdatum:
29.06.2018
Seiten:
220
Autor:
Sergei Ovchinnikov
Gewicht:
341 g
Format:
235x155x13 mm
Serie:
Universitext
Sprache:
Englisch
Beschreibung:
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 for the subsequent text.
Provides an elementary treatment of the subject that establishes the foundation for further study
Preface.- 1. Preliminaries.- 2. Metric Spaces.- 3. Special Spaces.- 4. Normed Spaces.- 5. Linear Functionals.- 6. Fundamental Theorems.- 7. Hilbert Spaces.- A. Hilbert Spaces L2(J).- References.- Index.
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