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Journal of Functional Analysis
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Journal of Functional Analysis
Article . 2005
License: Elsevier Non-Commercial
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Journal of Functional Analysis
Article . 2005 . Peer-reviewed
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Article . 2005
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Characterization of integral operators with semi-separable kernels with symmetries

Authors: Groenewald, G.J.; Petersen, M.A.; Ran, A.C.M.;

Characterization of integral operators with semi-separable kernels with symmetries

Abstract

The main objective of this paper is to characterize integral operators with semi-separable kernel which have some type of symmetry in terms of their time-varying realizations. The following cases of integral operators are considered: self-adjoint operators, positive operators, \(J\)-unitary operators, positive real operators, dissipative operators, and contractive operators.

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Keywords

Integral operators, SDG 16 - Peace, Positive real integral operators, J-unitary integral operators, Matrix equations and identities, Semi-separable kernels, Positive linear operators and order-bounded operators, Contractive integral operators, Linear accretive operators, dissipative operators, etc., dissipative integral operators, Justice and Strong Institutions, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), semi-separable kernels, positive integral operators, Self-adjoint integral operators, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, \(J\)-unitary integral operators, contractive integral operators, Dissipative integral operators, positive real integral operators, self-adjoint integral operators, Analysis, Positive integral operators

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selected citations
These citations are derived from selected sources.
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!
0
Average
Average
Average
hybrid