Linear Operators and Their Essential Pseudospectra

Description

Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include various essential spectra, but the author also considers some of the generalizations that have been studied. In recent years, spectral theory has witnessed an explosive development. This volume presents a survey of results concerning various types of essential spectra and pseudospectra in a unified, axiomatic way and also discusses several topics that are new but which relate to the concepts and methods emanating from the book. The main topics include essential spectra, essential pseudospectra, structured essential pseudospectra, and their relative sets. This volume will be very useful for several researchers since it represents not only a collection of previously heterogeneous material but also includes discussions of innovation through several extensions. As the spectral theory of operators is an important part of functional analysis and has numerous applications in many areas of mathematics, the author suggests that some modest prerequisites from functional analysis and operator theory should be in place to be accessible to newcomers and graduate students of mathematics. Content: IntroductionFundamentalsSpectraPerturbation of Unbounded Linear Operators by Relative BoundednessEssential SpectraS-Essential Spectra of Closed Linear Operator on a Banach SpaceS-Essential Spectrum and Measure of Non-Strict-Singularity S-Pseudospectra and Structured S-PseudospectraStructured Essential PseudospectraStructured Essential Pseudospectra and Measure of NoncompactnessA Characterization of the Essential PseudospectraConditional Pseudospectra