Beschreibung
A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying difficulty. This new edition will appeal to a whole new generation of students seeking an introduction to this topic.
Inhaltsverzeichnis
Banach Spaces.- Banach Algebras.- Geometry of Hilbert Space.- Operators on Hilbert Space and C^ä*ü-Algebras.- Compact Operators, Fredholm Operators, and Index Theory.- The Hardy Spaces.- Toeplitz Operators.
Autorenporträt
Inhaltsangabe1 Banach Spaces.- 2 Banach Algebras.- 3 Geometry of Hilbert Space.- 4 Operators on Hilbert Space and C*-Algebras.- 5 Compact Operators, Fredholm Operators, and Index Theory.- 6 The Hardy Spaces.- 7 Toeplitz Operators.- References.
