Fredholm and local spectral theory, with applications to multipliers - ISBN:1402018304

Fredholm and local spectral theory, with applications to multipliers

Date: 14 April 2011, 11:37

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A significant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers defined on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these important classes of operators have been studied. This scarce consideration is even more surprising when one observes that the various aspects of spectral theory mentioned above are quite similar to those of a normal operator defined on a complex Hilbert space.

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