Harte R. Spectral Mapping Theorems: A Bluffer's Guide

New York: Springer, 2014. — 131 p.Written by an author who was at the forefront of developments in multi-variable spectral theory during the seventies and the eighties, this guide sets out to describe in detail the spectral mapping theorem in one, several and many variables. The basic algebraic systems – semigroups, rings and linear algebras – are summarised, and then topological-algebraic systems, including Banach algebras, to set up the basic language of algebra and analysis.
Spectral Mapping Theorems is written in an easy-to-read and engaging manner and will be useful for both the beginner and expert. It will be of great importance to researchers and postgraduates studying spectral theory.Algebra
Topology
Topological Algebra
Spectral Theory
Several Variables
Many Variables
Erratum to: Spectral Mapping Theorems