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

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. Front Matter ....Pages i-xi Fredholm Theory (Pietro Aiena)....Pages 1-94 Local Spectral Theory (Pietro Aiena)....Pages 95-211 Essential Spectra Under Perturbations (Pietro Aiena)....Pages 213-294 Polaroid-Type Operators (Pietro Aiena)....Pages 295-359 Browder-Type Theorems (Pietro Aiena)....Pages 361-417 Weyl-Type Theorems (Pietro Aiena)....Pages 419-508 Back Matter ....Pages 509-546