He covers the basic elements of metric topology, new types of function spaces, the theory of Hilbert spaces, operators in Hilbert spaces, spectral theory, Fredholm theory
, and a wide variety of other related subjects over the course of the bookAEs six chapters.
For a survey on Fredholm theory in Hilbert space the reader is referred to .
Kubrusly, Fredholm theory in Hilbert space--a concise introductory exposition, Bull.
The main idea is that in this setting the Fredholm theory is readily applicable.
Using Fredholm theory, it is enough to show that e.g.
A Quantum Kirwan Map: Bubbling and Fredholm Theory
for Symplectic Vortices Over the Plane
Obviously, [[sigma].sub.w](T) = [[sigma].sub.uw](T) [union] [[sigma].sub.lw](T) and from basic Fredholm theory
Riesz and Fredholm Theory
in Banach Algebras, Pitman, London, 1982.