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Journal of Mathematical Analysis and Applications
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Journal of Mathematical Analysis and Applications
Article . 1988
License: Elsevier Non-Commercial
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Journal of Mathematical Analysis and Applications
Article . 1988 . Peer-reviewed
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Volterra systems of operators

Authors: Shmuel Kantorovitz;

Volterra systems of operators

Abstract

Put \(T_{\alpha}=S+\alpha V\) (\(\alpha\in {\mathbb{C}})\), where the multiplication S: \(f(x)\to xf(x)\) and the classical Volterra operator \(V:f(x)\to \int^{x}_{0}f(t)dt\) acting on \(L^ p(0,1)\) \((1

Related Organizations
Keywords

multiplication, Volterra operator, Perturbation theory of linear operators, Applied Mathematics, Linear operators on function spaces (general), Spectral operators, decomposable operators, well-bounded operators, etc., Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid