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A Toeplitz-like operator with rational symbol having poles on the unit circle. I. Fredholm properties

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dc.contributor.authorGroenewald, G.J.
dc.contributor.authorTer Horst, S.
dc.contributor.authorRan, A.C.M.
dc.contributor.authorJaftha, J.
dc.date.accessioned2019-02-08T10:50:26Z
dc.date.available2019-02-08T10:50:26Z
dc.date.issued2018
dc.description.abstractIn this paper a definition is given for an unbounded Toeplitzlike operator with rational symbol which has poles on the unit circle. It is shown that the operator is Fredholm if and only if the symbol has no zeroes on the unit circle, and a formula for the index is given as well. Finally, a matrix representation of the operator is discussed
dc.identifier.citationGroenewald, G.J. et al. 2018. A Toeplitz-like operator with rational symbol having poles on the unit circle. I. Fredholm properties. (In Bart, H., Ter Horst, S., Ran, A.C.M. & Woerdeman, H.J., eds. Operator theory, analysis and the state space approach: in Honor of Rien Kaashoek). Operator theory: advances and applications, 271:239-268. [https://doi.org/10.1007/978-3-030-04269-1_10]en_US
dc.identifier.isbn978-3-030-04268-4
dc.identifier.issn0255-0156
dc.identifier.issn978-3-030-04269-1 (Online)
dc.identifier.urihttp://hdl.handle.net/10394/31803
dc.identifier.urihttps://link.springer.com/chapter/10.1007/978-3-030-04269-1_10
dc.identifier.urihttps://doi.org/10.1007/978-3-030-04269-1_10
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.subjectToeplitz operatorsen_US
dc.subjectUnbound operatorsen_US
dc.subjectFredholm propertiesen_US
dc.titleA Toeplitz-like operator with rational symbol having poles on the unit circle. I. Fredholm propertiesen_US
dc.typeBook chapteren_US

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