Fredholm theory


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Fredholm theory

[′fred‚hōm ‚thē·ə·rē]
(mathematics)
The study of the solutions of the Fredholm equations.
References in periodicals archive ?
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 [10].
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 we have
Riesz and Fredholm Theory in Banach Algebras, Pitman, London, 1982.