A Guide to Spectral Theory

Language: English

Published by Springer International Publishing Mai 2021, 2021

3030674614 / 9783030674618

Series: Book 22 of 23 - Birkhäuser Advanced Texts Basler Lehrbücher

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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Neuware -This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students alike will also appreciate the exploration of more advanced applications and research perspectives presented near the end of the book.Beginning with a brief introduction to the relationship between spectral theory and quantum physics, the authors go on to explore unbounded operators, analyzing closed, adjoint, and self-adjoint operators. Next, the spectrum of a closed operator is defined and the fundamental properties of Fredholm operators are introduced. The authors then develop the Grushin method to execute the spectral analysis of compact operators. The chapters that follow are devoted to examining Hille-Yoshida and Stone theorems, the spectral analysis of self-adjoint operators, and trace-class and Hilbert-Schmidt operators. The final chapter opens the discussion to several selected applications. Throughout this textbook, detailed proofs are given, and the statements are illustrated by a number of well-chosen examples. At the end, an appendix about foundational functional analysis theorems is provided to help the uninitiated reader.A Guide to Spectral Theory: Applications and Exercisesis intended for graduate students taking an introductory course in spectral theory or operator theory. A background in linear functional analysis and partial differential equations is assumed; basic knowledge of bounded linear operators is useful but not required. PhD students and researchers will also find this volume to be of interest, particularly the research directions provided in later chapters. 280 pp. Englisch.…

Seller Inventory # 9783030674618

Title
A Guide to Spectral Theory
Author
Nicolas Raymond
Publisher
Springer International Publishing Mai 2021
Publication year
2021
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3030674614
ISBN 13
9783030674618
Item weight
639 grams
Dimensions
241x160x20 mm
Series
Book 22 of 23: Birkhäuser Advanced Texts Basler Lehrbücher

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

Item5 to 15 business days5 to 15 business days
First itemUS$ 25.76US$ 25.76
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BuchWeltWeit Ludwig Meier e.K.

Germany