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Fredholm operator families -I

Integral Equations and Operator Theory, 1983
This paper is a continuation of a former one [ibid. 6, 853-862 (1983; Zbl 0522.47010)]. In this one, after considering bundles of subspaces of a topological vector space, we show how they appear as image or kernel of semi-Fredholm families. We also extend some well known results of holomorphic Fredholm families to the setting of topological vector ...
Cuellar, Jorge   +2 more
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Fredholm Weighted Generalized Composition Operators

Complex Analysis and Operator Theory, 2021
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Datt, Gopal, Jain, Mukta
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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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Fredholm Operator Manifolds

Journal of Mathematical Sciences
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Operator Estimates for Fredholm Modules

Canadian Journal of Mathematics, 2000
AbstractWe study estimates of the typewhere φ(t) = t(1 + t2)−1/2, D0 = D0* is an unbounded linear operator affiliated with a semifinite von Neumann algebra , D − D0 is a bounded self-adjoint linear operator from and , where E(, τ) is a symmetric operator space associated with .
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Matrix Fredholm Operators

1987
In this chapter a connection is established between the Fredholmness of the operator A = [A mk ] m,k=1 n in the Cartesian product E n = E × ... × E of n copies of a Banach space E and the Fredholmness of its determinant det[A mk ] in E. Conditions are given under which the indices of these two operators coincide.
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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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