Decomposition theorems for Fredholm operators
نویسندگان
چکیده
منابع مشابه
On the Kato Decomposition of Quasi–Fredholm and B–Fredholm Operators
We construct a Kato-type decomposition of quasi-Fredholm operators on Banach spaces. This generalizes the corresponding result of Labrousse for Hilbert space operators. The result is then applied to B-Fredholm operators. Denote by B(X) the set of all bounded linear operators acting on a Banach space X. For T ∈ B(X) denote by N(T ) = {x ∈ X : Tx = 0} and R(T ) = TX its kernel and range, respecti...
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One of the most fundamental problems in mathematics is to solve linear equations of the form Tf = g, where T is a linear transformation, g is known, and f is some unknown quantity. The simplest example of this comes from elementary linear algebra, which deals with solutions to matrix-vector equations of the form Ax = b. More generally, if V,W are vector spaces (or, in particular, Hilbert or Ban...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1965
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1965.15.97