Fredholm and Local Spectral Theory, with Applications to Multipliers

• Main Author: Aiena, Pietro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2004.
• Subjects: Mathematics.; Harmonic analysis.; Functional analysis.; Operator theory.; Operator Theory.; Functional Analysis.; Abstract Harmonic Analysis.

A signi?cant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers de?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several...

Table of Contents:

• The Kato decomposition property
• The single-valued extension property
• The SVEP and Fredholm theory
• Multipliers of commutative Banach algebras
• Abstract Fredholm theory
• Decomposability
• Perturbation classes of operators.