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The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators [PDF]
Abstract and Applied Analysis, 2007 The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
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Toeplitz operators and Wiener-Hopf factorisation: an introduction
Concrete Operators, 2017 Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf
Câmara M. Cristina
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Fredholm Toeplitz Operators [PDF]
Proceedings of the American Mathematical Society, 1970 Whether a Toeplitz operator on H 2 {H^2} is Fredholm is shown to depend only on the local behavior of the inducing function.
Douglas, R. G., Sarason, D.
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Regularised discretisations obtained from first‐kind Fredholm operator equations
IET Microwaves, Antennas & Propagation, 2021 Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully ...
George Fikioris
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Axioms, 2022 This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type.
Dana Bibulova +2 more
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Some special characterisations of Fredholm operators in Banach space
Bibechana, 2014 A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
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Bibechana, 2012 The Fredholm Alternative Theorem gives the notion of bounded and continuous operator which makes a family F of elements of C[a, b] bounded and equicontinuous. A continuous operator of finite rank is completely continuous but every continuous operator is
GK Palei, NP Sah
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On the quasi-Fredholm and Saphar spectrum of strongly continuous Cosine operator function
Moroccan Journal of Pure and Applied Analysis, 2021 Let (C(t))t∈ be a strongly continuous cosine family and A be its infinitesimal generator. In this work, we prove that, if C(t) – coshλt is Saphar (resp. quasi-Fredholm) operator and λt /∉iπ, then A – λ2 is also Saphar (resp.
Boua Hamid
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Fredholm inversion around a singularity: Application to autoregressive time series in Banach space
Electronic Research Archive, 2023 This paper considers inverting a holomorphic Fredholm operator pencil. Specifically, we provide necessary and sufficient conditions for the inverse of a holomorphic Fredholm operator pencil to have a simple pole and a second order pole.
Won-Ki Seo
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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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