Overview
- 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
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2235)
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Table of contents (6 chapters)
Keywords
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.
Reviews
“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)
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Fredholm and Local Spectral Theory II
Book Subtitle: With Application to Weyl-type Theorems
Authors: Pietro Aiena
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-02266-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-030-02265-5Published: 24 November 2018
eBook ISBN: 978-3-030-02266-2Published: 24 November 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XI, 546
Number of Illustrations: 3 b/w illustrations
Topics: Functional Analysis, Operator Theory