Functional Analysis: A Terse Introduction (De Gruyter Textbook)

Chacón, Humberto

 
9783110441918: Functional Analysis: A Terse Introduction (De Gruyter Textbook)
ISBN 10: 3110441918 ISBN 13: 9783110441918
Verlag: De Gruyter, 2016

Inhaltsangabe

This textbook on functional analysis offers a short and concise introduction to the subject. The book is designed in such a way as to provide a smooth transition between elementary and advanced topics and its modular structure allows for an easy assimilation of the content. Starting from a dedicated chapter on the axiom of choice, subsequent chapters cover Hilbert spaces, linear operators, functionals and duality, Fourier series, Fourier transform, the fixed point theorem, Baire categories, the uniform bounded principle, the open mapping theorem, the closed graph theorem, the Hahn–Banach theorem, adjoint operators, weak topologies and reflexivity, operators in Hilbert spaces, spectral theory of operators in Hilbert spaces, and compactness. Each chapter ends with workable problems.
The book is suitable for graduate students, but also for advanced undergraduates, in mathematics and physics.

Contents:
List of Figures
Basic Notation
Choice Principles
Hilbert Spaces
Completeness, Completion and Dimension
Linear Operators
Functionals and Dual Spaces
Fourier Series
Fourier Transform
Fixed Point Theorem
Baire Category Theorem
Uniform Boundedness Principle
Open Mapping Theorem
Closed Graph Theorem
Hahn–Banach Theorem
The Adjoint Operator
Weak Topologies and Reflexivity
Operators in Hilbert Spaces
Spectral Theory of Operators on Hilbert Spaces
Compactness
Bibliography
Index

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Gerardo Chacón, Gallaudet University, DC, USA.
Humberto Rafeiro, Juan Vallejo, Pontificia Universidad Javeriana, Bogota, Colombia.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
De Gruyter
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3110441918
ISBN 13 
9783110441918
Einband
Broschiert
Auflage
1
Anzahl der Seiten
246
Kontakt zum Hersteller
productsafety@degruyterbrill.com
productsafety@degruyterbrill.com

Paul-Lincke-Ufer 34
Berlin
10999
Deutschland