Selected Lectures on Functional Analysis: Spectral Theory of Operators, Banach Algebras, and Semigroups of Operators - Couverture rigide

Yang, Dachun; Yuan, Wen

 
9789819803514: Selected Lectures on Functional Analysis: Spectral Theory of Operators, Banach Algebras, and Semigroups of Operators
Couverture rigide
ISBN 10 : 9819803519 ISBN 13 : 9789819803514
Editeur : World Scientific Publishing Co Pte Ltd, 2025

Synopsis

The main aim of this book is to provide an advanced textbook on functional analysis, focusing on the functional calculus of operators. Based on basic knowledge of functional analysis on metric spaces and linear bounded operators, this book systematically introduces the spectral theory of operators and the theory of operator semigroups, including Banach algebras, spectral theories of both bounded and unbounded linear operators, as well as semigroups of operators. They play important roles in various areas of modern mathematics such as harmonic analysis, partial differential equations, probability and statistics, engineering science, quantum physics, and statistical mechanics.

This book provides rich examples and exercises, emphasizing the combination of the theory and examples to enhance readers' ability to apply functional analysis theory to solve related problems. Compared with many other functional analysis textbooks, this book focuses on the spectral theory and the operator semigroup theory, serving as an appropriate connection for functional analysis between undergraduate and graduate levels, making it an ideal textbook for both. It will also be a good reference book for researchers who are interested in modern analysis, such as functional analysis, harmonic analysis, and partial differential equations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2025
Langue
anglais
ISBN 10 
9819803519
ISBN 13 
9789819803514
Reliure
Relié
Nombre de pages
712
Coordonnées du fabricant
World Scientific Publishing
https://www.worldscientific.com/

5 Toh Tuck Link
#01-01
596224
Singapour
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne