Fredholm and Local Spectral Theory II: With Application to Weyl-Type Theorems

ISBN-13: 9783030022655 / Angielski / Miękka / 2018 / 546 str.

Pietro Aiena

Opis

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.

Recenzje

"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)

Spis treści

- Fredholm Theory. - Local Spectral Theory. - Essential Spectra Under Perturbations. - Polaroid-Type Operators. - Browder-Type Theorems. - Weyl-Type Theorems. 

O autorze

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.