Convergence analysis of LSQR for compact operator equations
, 2019 In this paper we analyze the behavior of the LSQR algorithm for the solution of compact operator equations in Hilbert spaces. We present results concerning existence of Krylov solutions and the rate of convergence in terms of an l p sequence where p ...
N. Caruso, P. Novati
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Compact Equivalent Inverse of the Electric Field Integral Operator on Screens
Integral equations and operator theory, 2018 We construct inverses of the variational electric field boundary integral operator up to compact perturbations on orientable topologically simple screens. We describe them as solution operators of variational problems set in low-regularity standard trace
R. Hiptmair, C. Urzúa-Torres
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The nuclear dimension of extensions of commutative C*-algebras by the compact operators [PDF]
Journal of operator theory, 2022 Generalizing the case of the Toeplitz algebra by Brake and Winter, we prove that the nuclear dimension of a C*-algebra extension of C(X) by the compact operators is equal to the dimension of X.
R. Gardner, A. Tikuisis
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A Note on the Krylov Solvability of Compact Normal Operators on Hilbert Space [PDF]
Complex Analysis and Operator Theory, 2022 We analyse the Krylov solvability of inverse linear problems on Hilbert space H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
N. Caruso
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Annals of Functional Analysis, 2018 We study several properties of the modulus of order bounded disjointness-preserving operators. We show that, if T is an order bounded disjointness-preserving operator, then T and |T| have the same compactness property for several types of compactness.
Haghnezhad Azar, Kazem, Alavizadeh, Razi
openaire +2 more sources
Harmonic Analysis Associated with the Jacobi–Dunkl Operator on $$(-\pi ,\pi )$$ ( - π , π )
Complex Analysis and Operator Theory, 2023 We investigate some spectral properties of a second order differential-difference operator $$J_{\alpha ,\beta }$$ J α , β on $$L^2((-\pi ,\pi ),d\mu _{\alpha , \beta })$$ L 2 ( ( - π , π ) , d μ α , β ) , $$\alpha ,\beta \in \mathbb {R}$$ α , β ∈ R ...
K. Stempak
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Extrapolation for multilinear compact operators and applications [PDF]
, 2020 This paper is devoted to studying the Rubio de Francia extrapolation for multilinear compact operators. It allows one to extrapolate the compactness of $T$ from just one space to the full range of weighted spaces, whenever an $m$-linear operator $T$ is ...
Mingming Cao, Andrea Olivo, K. Yabuta
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AerospaceCubeSats, known for their compact size and cost effectiveness, have gained significant popularity. However, their limited size imposes restrictions on the optical aperture and, consequently, the Ground Resolution Distance in Earth Observation missions ...
Cyril Bourgenot +3 more
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A superconvergence result for solutions of compact operator equations
Bulletin of the Australian Mathematical Society, 2003 Over the last 20 years, since the publication of Sloan's paper on the improvement by the iteration technique, various approaches have been proposed for post-processing the Galerkin solution of multi-dimensional second kind Fredholm Integral equation ...
R. Kulkarni
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On C-compact orthogonally additive operators
Journal of Mathematical Analysis and Applications, 2021 We consider C-compact orthogonally additive operators in vector lattices. After providing some examples of C-compact orthogonally additive operators on a vector lattice with values in a Banach space we show that the set of those operators is a projection
M. Pliev
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