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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 ...
Jorge Cuéllar
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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 ...
Jorge Cuéllar
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On the eigenvalues of the fredholm operator
Ukrainian Mathematical Journal, 1996See the review in Zbl 0891.47034.
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Journal of Mathematical Sciences
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Fredholm operators
Archiv der Mathematik, 1985The 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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The Fredholm Determinant for a Dirac Operator
Annals of Physics, 1994The Fredholm determinant for a Dirac operator appropriate to a particle moving in one spatial dimension is investigated. The operator is written as \(H=p_ x\sigma_ 1+ m\sigma_ 3+ V(x)\), where \(p_ x\), \(m\) and \(V(x)\) are, respectively, the momentum, mass, and potential energy of the particle and the Pauli spin matrices, \(\sigma_ i\), constitute a
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On Fredholm Properties of Operator Products
Mathematical Proceedings of the Royal Irish Academy, 2003An 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
1993The 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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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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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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