Results 21 to 30 of about 20,701 (195)
Resonances for asymptotically hyperbolic manifolds: Vasy's method revisited [PDF]
, 2015 We revisit Vasy's method for showing meromorphy of the resolvent for (even) asymptotically hyperbolic manifolds. It provides an effective definition of resonances in that setting by identifying them with poles of inverses of a family of Fredholm ...
Zworski, Maciej
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Fredholm Operators: A Counterexample [PDF]
Proceedings of the American Mathematical Society, 1969 In 1960 Pietsch [I] gave an example of a locally convex linear topological space for which the set of Fredholm operators is not open. It is the purpose of this note to show that the Fredholm class is not open for any weak locally convex space. A Hausdorff locally convex space is called a weak locally convex space if every null-neighborhood contains a ...
openaire +1 more source
The universal gerbe, Dixmier-Douady class, and gauge theory [PDF]
, 2001 We clarify the relation between the Dixmier-Douady class on the space of self adjoint Fredholm operators (`universal B-field') and the curvature of determinant bundles over infinite-dimensional Grassmannians.
Carey, Alan L., Mickelsson, Jouko
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Some Remarks on Perturbation Classes of Semi-Fredholm and Fredholm Operators
International Journal of Mathematics and Mathematical Sciences, 2007 We show the existence of Banach spaces X, Y such that the set of strictly singular operators 𝒮(X,Y) (resp., the set of strictly cosingular operators 𝒞𝒮(X,Y)) would be strictly included in ℱ+(X,Y) (resp., ℱ−(X,Y)) for the nonempty class of closed densely ...
Abdelkader Dehici, Khaled Saoudi
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On Semi-Fredholm Band-Dominated Operators [PDF]
, 2014 In this paper we study the semi-Fredholm property of band-dominated operators $A$ and prove that it already implies the Fredholmness of $A$ in all cases where this is not disqualified by obvious reasons. Moreover, this observation is applied to show that
Seidel, Markus
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Elliptic operators and their symbols
Demonstratio Mathematica, 2019 We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm ...
Vasilyev Vladimir
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Algorithms, 2023 Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas +1 more
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Index theorems on manifolds with straight ends [PDF]
, 2012 We study Fredholm properties and index formulas for Dirac operators over complete Riemannian manifolds with straight ends. An important class of examples of such manifolds are complete Riemannian manifolds with pinched negative sectional curvature and ...
Ballmann, W., Brüning, J., Carron, G.
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Advances in Difference Equations, 2018 In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.
Xiao-Li Ding, Bashir Ahmad
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On non-adjointable semi-Weyl and semi-B-Fredholm operators over C*-algebras
, 2021 We extend further semi-A-Fredholm theory by generalizing the results from classical semi-Weyl theory on Hilbert spaces. Moreover, we obtain an analogue of the results from [17] in the setting of non-adjointable operators.
Ivkovic, Stefan
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