Curious ill-posedness phenomena in the composition of non-compact linear operators in Hilbert spaces
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Publication:6626990
DOI10.1515/jiip-2024-0007MaRDI QIDQ6626990
Stefan Kindermann, Bernd Hofmann
Publication date: 29 October 2024
singular value decompositionlinear ill-posed problemscomposition operatorsCesàro operatorintegration operatordegree of ill-posednessHausdorff moment operatornon-compact and compact operators
Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Moment problems (44A60) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)
Cites Work
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- On the degree of ill-posedness for linear problems with noncompact operators
- Stability rates for linear ill-posed problems with compact and non-compact operators
- On ill-posedness measures and space change in Sobolev scales
- Momentprobleme für ein endliches Intervall.
- A note on numerical singular values of compositions with non-compact operators
- A new result in the singular value asymptotics of integration operators with weights
- The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator
- On the Hilbert Matrix, II
- On the Singular Value Decomposition of n-Fold Integration Operators
- Two Characterizations of Power Compact Operators
- On Power Compact Operators
- On the nature of ill-posedness of an inverse problem arising in option pricing
- Some results and a conjecture on the degree of ill-posedness for integration operators with weights
- Regularization of linear ill-posed problems involving multiplication operators
- Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems
- Approximate source conditions in Tikhonov–Phillips regularization and consequences for inverse problems with multiplication operators
- Riesz operators and Fredholm perturbations
- Normally solvable operators and ideals associated with them
- On the Ideals of Strictly Singular and Inessential Operators
- A Structure Theorem for Polynomially Compact Operators
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