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Quasisimilarity of Rational Toeplitz Operators

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Toeplitz Centennial

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 4))

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Abstract

A recent series of papers, [1]–[3], has dealt with the structure, up to similarity, of rational Toeplitz operators TF, with spectrum consisting of the union of loops, intersecting at only a finite number of points. This paper deals with quasisimilarity.

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References

  1. Clark, D.N., On a similarity theory for rational Toeplitz operators, J. Reine Angew. Math. 320(1980), 6–31.

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  2. —, Toeplitz operators with loops, J. Operator Theory 4(1980), 37–54.

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  3. —, on Toeplitz operators with loops,. II, ibid.

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  4. Clark, D.N. and Morrel, J.H., On Toeplitz operators and similarity, Amer. J. Math. 100(1978), 973–986.

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  5. Warschawski, S.E., On a theorem of L. Lichtenstein, Pacific J. Math. 5(1955), 835–839.

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© 1982 Springer Basel AG

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Clark, D.N. (1982). Quasisimilarity of Rational Toeplitz Operators. In: Gohberg, I. (eds) Toeplitz Centennial. Operator Theory: Advances and Applications, vol 4. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5183-1_9

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  • DOI: https://doi.org/10.1007/978-3-0348-5183-1_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5184-8

  • Online ISBN: 978-3-0348-5183-1

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