Fredholm and Local Spectral Theory II
with Application to Weyl-type Theorems
Published on 15. February 2019
Book
Paperback/Softback
XI, 544 pages
978-3-030-02265-5 (ISBN)
Description
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.
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 / Votes
"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)More details
Product info
Book
Series
Edition
2019
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
3 s/w Abbildungen
3 schwarz-weiße Abbildungen, Bibliographie
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 30 mm
Weight
838 gr
ISBN-13
978-3-030-02265-5 (9783030022655)
DOI
10.1007/978-3-030-02266-2
Schweitzer Classification
Other editions
Additional editions
E-Book
11/2018
Springer
€42.79
Available for download
Person
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.
Content
- Fredholm Theory. - Local Spectral Theory. - Essential Spectra Under Perturbations. - Polaroid-Type Operators. - Browder-Type Theorems. - Weyl-Type Theorems.