Spectral Mapping Theorems

A Bluffer's Guide

  • Robin Harte

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Robin Harte
    Pages 1-26
  3. Robin Harte
    Pages 27-38
  4. Robin Harte
    Pages 39-53
  5. Robin Harte
    Pages 55-76
  6. Robin Harte
    Pages 77-99
  7. Robin Harte
    Pages 101-106
  8. Robin Harte
    Pages E1-E1
  9. Back Matter
    Pages 107-120

About this book

Introduction

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.

Keywords

Gelfand Theory Joint Spectrum Muller Regularity Spectral Mapping Theorem in Several Variables

Authors and affiliations

  • Robin Harte
    • 1
  1. 1.School of MathematicsTrinity CollegeDublinIreland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-05648-7
  • Copyright Information Robin Harte 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-05647-0
  • Online ISBN 978-3-319-05648-7
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • About this book