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Functional Analysis - Prahlad Vaidyanathan

Functional Analysis

Buch | Softcover
300 Seiten
2023
Cambridge University Press (Verlag)
978-1-009-24390-2 (ISBN)
CHF 69,80 inkl. MwSt
This textbook is designed for a year-long introductory course in Functional Analysis and the theory of Operator Algebras. It guides graduate students and researchers through a wide range of topics including Hilbert spaces, Weak Topologies and C*-algebras. With numerous problems and examples, it is suitable for classroom teaching and self-learning.
Since its inception in the early 20th century, Functional Analysis has become a core part of modern mathematics. This accessible and lucid textbook will guide students through the basics of Functional Analysis and the theory of Operator Algebras. The text begins with a review of Linear Algebra and Measure Theory. It progresses to concepts like Banach spaces, Hilbert spaces, Dual spaces and Weak Topologies. Subsequent chapters introduce the theory of operator algebras as a guide to study linear operators on a Hilbert space and cover topics such as Spectral Theory and C*-algebras. Theorems have been introduced and explained through proofs and examples, and historical background to the mathematical concepts have been provided wherever appropriate. At the end of chapters, practice exercises have been segregated in a topic-wise manner for targeted practice, making the book ideal both for classroom teaching as well as self-study.

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.

Erscheinungsdatum
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 184 x 241 mm
Gewicht 730 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 1-009-24390-X / 100924390X
ISBN-13 978-1-009-24390-2 / 9781009243902
Zustand Neuware
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