Titlebook: Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation; 22nd International W Manuel Cepedello Boiso,Håkan He

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https://doi.org/10.1007/978-81-322-1151-8spectrum introduced in [5]. This is expected to be useful in dealing with operator equations. In this paper we prove a mapping theorem for condition spectrum, extending an earlier result in [5]. Let . be an analytic function in an open set 9 containing σ.(a). We study the relations between the sets

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Trade, Development and Political EconomySome important classes of matrices admit a factorization known as bidiagonal decomposition. Bidiagonal decompositions can provide natural parameters to perform computations with high relative accuracy. We prove that corner cutting algorithms provide bidiagonal decompositions with high relative accuracy

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https://doi.org/10.1007/978-1-349-25417-0Let . and . be analytic functions on the open unit disk . with .. We characterize the bounded and the compact weighted composition operators . from the analytic Besov space . . into . and into .. We also show that there are no isometries among the composition operators.

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Hemiparesis

https://doi.org/10.1007/978-1-349-25417-0In the paper some classes of vector differential operators of infinite order are studied and their use for constructing the entire solutions of implicit linear differential equations in a Banach space is considered. In addition, the integral representations of the Cauchy type for vector differential operators of infinite order are obtained.

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Catching Up in Terms of Product QualityTauberian operators have been useful in the study of many different topics of functional analysis. Here we describe some properties and the main applications of tauberian operators, and we point out several concrete problems that remain open.

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Saikat Sinha Roy,Pradyut Kumar PyneLet .: ℝ → (1,∞) be a globally log-Hölder continuous variable exponent and .: ℝ →[0,∞] be a weight. We prove that the Cauchy singular integral operator . is bounded on the weighted variable Lebesgue space . .(ℝ,.)= {.:. .ϵ. .(ℝ)} if and only if the weight . satisfies..

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Matrices with Bidiagonal Decomposition, Accurate Computations and Corner Cutting Algorithms,Some important classes of matrices admit a factorization known as bidiagonal decomposition. Bidiagonal decompositions can provide natural parameters to perform computations with high relative accuracy. We prove that corner cutting algorithms provide bidiagonal decompositions with high relative accuracy