A Course in Commutative Banach Algebras

Requiring only a basic knowledge of functional analysis, topology, complex analysis, measure theory and group theory, this book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The core are chapters on Gelfand's theory, regularity and spectral sy...

Full description

Bibliographic Details
Main Author: Kaniuth, Eberhard. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: New York, NY : Springer New York, 2009.
Series:Graduate Texts in Mathematics, 246
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-72476-8
LEADER 02378nam a22004095i 4500
001 4467
003 DE-He213
005 20130725205248.0
007 cr nn 008mamaa
008 110402s2009 xxu| s |||| 0|eng d
020 # # |a 9780387724768  |9 978-0-387-72476-8 
024 7 # |a 10.1007/978-0-387-72476-8  |2 doi 
100 1 # |a Kaniuth, Eberhard.  |e author. 
245 1 2 |a A Course in Commutative Banach Algebras  |c by Eberhard Kaniuth.  |h [electronic resource] / 
264 # 1 |a New York, NY :  |b Springer New York,  |c 2009. 
300 # # |a XII, 353p.  |b online resource. 
336 # # |a text  |b txt  |2 rdacontent 
337 # # |a computer  |b c  |2 rdamedia 
338 # # |a online resource  |b cr  |2 rdacarrier 
347 # # |a text file  |b PDF  |2 rda 
490 1 # |a Graduate Texts in Mathematics,  |v 246  |x 0072-5285 ; 
505 0 # |a Preface -- General Theory of Banach Algebras -- Gelfand Theory -- Functional Calculus, Shilov Boundary, and Applications -- Regularity and Related Properties -- Spectral Synthesis and Ideal Theory -- Appendix -- References -- Index. 
520 # # |a Requiring only a basic knowledge of functional analysis, topology, complex analysis, measure theory and group theory, this book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The core are chapters on Gelfand's theory, regularity and spectral synthesis. Special emphasis is placed on applications in abstract harmonic analysis and on treating many special classes of commutative Banach algebras, such as uniform algebras, group algebras and Beurling algebras, and tensor products. Detailed proofs and a variety of exercises are given. The book aims at graduate students and can be used as a text for courses on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis. 
650 # 0 |a Mathematics. 
650 # 0 |a Functional analysis. 
650 # 0 |a Operator theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Operator Theory. 
710 2 # |a SpringerLink (Online service) 
773 0 # |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9780387724751 
830 # 0 |a Graduate Texts in Mathematics,  |v 246  |x 0072-5285 ; 
856 4 0 |u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-72476-8 
912 # # |a ZDB-2-SMA 
950 # # |a Mathematics and Statistics (Springer-11649)