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.
General
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