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Generalized Fredholm operators

Archiv der Mathematik, 1985
The classical Fredholm theory in Banach spaces studies normally solvable operators with null space or conull space in F, the ideal of all finite dimensional Banach spaces. The aim of this paper is to study normally solvable operators with null space or conull space in an arbitrary space ideal A.
Alvarez, Teresa, Onieva, Victor M.
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On Fredholm Properties of Operator Products

Mathematical Proceedings of the Royal Irish Academy, 2003
An operator \(A\) acting on a Banach space \(X\) is called generalised Fredholm operator if there exists an operator \(S\) on \(X\) such that \(ASA=A\) and \(I-SA-AS\) is a Fredholm operator. These operators have been studied by the author in several previous papers.
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Compact and Fredholm Operators

1993
The operators in infinite dimensional spaces closest to operators in finite dimensional spaces are the compact operators, which will now be studied systematically. A large number of examples of compact operators are given in the exercises.
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Nonlinear Fredholm Operators

2011
The theory of linear Fredholm operators will be used in this chapter to study onlinear elliptic problems. Nonlinear operators are called Fredholm operators if the corresponding linearized operators satisfy this property.
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Non-Fredholm Operators

2011
The theory of elliptic problems is essentially based on their Fredholm property which determines solvability conditions and a well-defined index. The Fredholm property and index are preserved under small perturbations of the operators. The situation is quite different if the Fredholm property is not satisfied. A general theory of such problems does not
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On the index of pseudo B-Fredholm operator

Monatshefte Fur Mathematik, 2022
Hassan Zariouh
exaly  

Operators with a Fredholm Theory

Journal of the London Mathematical Society, 1954
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Fredholm Operators

1985
B. Booss, D. D. Bleecker
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RIGHT AND LEFT FREDHOLM OPERATOR MATRICES

Bulletin of the Korean Mathematical Society, 2013
Milica Z Kolundžija, Dragan Djordjevic
exaly  

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