Lecture Notes in Mathematics

Fredholm and Local Spectral Theory II

With Application to Weyl-type Theorems

Authors: Aiena, Pietro

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  • Presents core material in spectral theory alongside several advanced topics
  • The first book entirely dedicated to the relationship between the various parts of the spectrum
  • Self-contained collection of the most recent research on the topic
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eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-030-02266-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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Softcover 41,59 €
price for Spain (gross)
  • ISBN 978-3-030-02265-5
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  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
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About this book

This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold.

The product of intensive research carried out over the last ten years, this book explores for the first time in a monograph form, results that were only previously available in journal papers.

Written in a simple style, with sections and chapters following an easy, natural flow, it will be an invaluable resource for researchers in Operator Theory and Functional Analysis. The reader is assumed to be familiar with the basic notions of linear algebra, functional analysis and complex analysis.


About the authors

The author, Pietro Aiena, is a Professor of Mathematics at the University of Palermo and a well-known authority on Operator Theory. 

He has published a number of papers over the years in journals of repute. A very high proportion of his published work in local spectral theory and Fredholm theory is held in high regard by his peers.

Reviews

“The book is well written, with clear and convincing arguments, and with a rich collection of facts appearing for the first time in a monograph, exhibited on more than 500 pages. … the book is an interesting and needed contribution, due to the large interest for this subject among many active mathematicians.” (Florian-Horia Vasilescu, zbMATH 1448.47002, 2020)
“This monograph provides a much-needed systematic organization to the field. … It should prove to be a valuable resource for graduate students and researchers in Banach space operator theory.” (Thomas Len Miller, Mathematical Reviews, July, 2019)

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-030-02266-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 41,59 €
price for Spain (gross)
  • ISBN 978-3-030-02265-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fredholm and Local Spectral Theory II
Book Subtitle
With Application to Weyl-type Theorems
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2235
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-02266-2
DOI
10.1007/978-3-030-02266-2
Softcover ISBN
978-3-030-02265-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XI, 546
Number of Illustrations
3 b/w illustrations
Topics