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Cover: 9781009243902 | Functional Analysis | Prahlad Vaidyanathan | Taschenbuch | Englisch
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Functional Analysis
Taschenbuch von Prahlad Vaidyanathan
Sprache: Englisch

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Beschreibung
"Functional Analysis is a part of mathematics that deals with linear spaces equipped with a topology. The subject began with the work of Fredholm, Hilbert, Banach and others in the early 20th century. They developed an algebraic/topological framework which could be used to address a variety of questions in analysis. The subject immediately saw connections to abstract algebra, partial differential equations, geometry and much more. This book is meant to introduce the reader to functional analysis. The first half of the book will cover the basic material that is taught in Masters programs across the world and prove all the major theorems in great detail. The second half of the book will focus on operators on a Hilbert space and is built around the proof of the spectral theorem - a central result in the subject that ties together traditional functional analysis with the modern theory of operator algebras. The book aims to provide an accessible, interesting and readable introduction to the subject. It will also take the reader a little further than most courses do by introducing them to the language of operator algebras. This will help future researchers by giving them a jumping off point as they dive into deeper books on the subject"--
"Functional Analysis is a part of mathematics that deals with linear spaces equipped with a topology. The subject began with the work of Fredholm, Hilbert, Banach and others in the early 20th century. They developed an algebraic/topological framework which could be used to address a variety of questions in analysis. The subject immediately saw connections to abstract algebra, partial differential equations, geometry and much more. This book is meant to introduce the reader to functional analysis. The first half of the book will cover the basic material that is taught in Masters programs across the world and prove all the major theorems in great detail. The second half of the book will focus on operators on a Hilbert space and is built around the proof of the spectral theorem - a central result in the subject that ties together traditional functional analysis with the modern theory of operator algebras. The book aims to provide an accessible, interesting and readable introduction to the subject. It will also take the reader a little further than most courses do by introducing them to the language of operator algebras. This will help future researchers by giving them a jumping off point as they dive into deeper books on the subject"--
Inhaltsverzeichnis
Preface; Notation; 1. Preliminaries; 2. Normed Linear Spaces; 3. Hilbert Spaces; 4. Dual Spaces; 5. Operators on Banach Spaces; 6. Weak Topologies; 7. Spectral Theory; 8. C*-Algebras; 9. Measure and Integration; 10. Normal Operators on Hilbert Spaces; Appendices; A.1 The Stone-Weierstrass Theorem; A.2 The Radon-Nikodym Theorem; Bibliography; Index.
Details
Erscheinungsjahr: 2023
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781009243902
ISBN-10: 100924390X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Vaidyanathan, Prahlad
Hersteller: Cambridge University Press
Maße: 185 x 241 x 27 mm
Von/Mit: Prahlad Vaidyanathan
Erscheinungsdatum: 21.09.2023
Gewicht: 0,744 kg
Artikel-ID: 122044144
Inhaltsverzeichnis
Preface; Notation; 1. Preliminaries; 2. Normed Linear Spaces; 3. Hilbert Spaces; 4. Dual Spaces; 5. Operators on Banach Spaces; 6. Weak Topologies; 7. Spectral Theory; 8. C*-Algebras; 9. Measure and Integration; 10. Normal Operators on Hilbert Spaces; Appendices; A.1 The Stone-Weierstrass Theorem; A.2 The Radon-Nikodym Theorem; Bibliography; Index.
Details
Erscheinungsjahr: 2023
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781009243902
ISBN-10: 100924390X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Vaidyanathan, Prahlad
Hersteller: Cambridge University Press
Maße: 185 x 241 x 27 mm
Von/Mit: Prahlad Vaidyanathan
Erscheinungsdatum: 21.09.2023
Gewicht: 0,744 kg
Artikel-ID: 122044144
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