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SpringerBriefs in Mathematics

Spectral Mapping Theorems

A Bluffer's Guide

Authors: Harte, Robin

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  • Useful as a supplement to any of the more orthodox texts in functional analysis and operator theory
  • Provides an easily-grasped overview of the spectral mapping theorem, for polynomials in one, several and many variables, and their relationship with the Gelfand theory of Banach algebras
  • Written in deliberately conversational style, these notes function as an extended seminar or workshop in this kind of spectral theory
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eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-05648-7
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  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-05647-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
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About this book

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.

About the authors

Robin Harte was educated at Belfast High School, Trinity College, Dublin and St. John's College, Cambridge, and has taught in the Universities of Swansea and Cork, Iowa, Alaska and Mexico. After pretending to retire, he went on the academic equivalent of a Road Trip, stopping at Belfast, Fairbanks, Lille and Mexico, with frequent stop-overs at Texas, Stellenbosch, Nis, Palermo and Seoul.

Reviews

“This short book introduces the reader to all algebraic, topological and operator theory … . The spectrum is defined and explained in detail, including the point, approximate point and essential spectrum … . the book is an excellent read if one aims to learn the abstract theory of spectral mapping theorems in one, several and many variables.” (Milena Stanislavova, Mathematical Reviews, October, 2015)

“Offering a fresh perspective even for experts, Harte (Trinity College, Ireland) emphasizes concepts of spectra generalized beyond single operators, so they are attached to finite sequences and even structured infinite families of operators. … Summing Up: Recommended. Upper-division undergraduates and above.” (D. V. Feldman, Choice, Vol. 52 (7), March, 2015)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-05648-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-05647-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Spectral Mapping Theorems
Book Subtitle
A Bluffer's Guide
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Robin Harte
eBook ISBN
978-3-319-05648-7
DOI
10.1007/978-3-319-05648-7
Softcover ISBN
978-3-319-05647-0
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XIV, 120
Number of Illustrations
1 b/w illustrations
Topics