Spectral Theory of Linear Operators

This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.

Unique collection of material in spectral theory that was only available in research papers before Theory is presented in a unified, axiomatic and elementary way Only a basic knowledge of functional analysis, topology, and complex analysis is assumed Serves as a reference book on spectral theory in banach algebras Includes supplementary material: sn.pub/extras

Inhalt
Banach Algebras.- Operators.- Essential Spectrum.- Taylor Spectrum.- Orbits and Capacity.