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Kernels of Toeplitz Operators

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Toeplitz Operators and Related Topics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 71))

Abstract

A new proof is presented of E. Hayashi’s characterization of the kernels of operators.

In honor of Harold Widom and his deep contributions to the study of Toeplitz operators.

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References

  1. P. Bloomfield, N. P. Jewell and E. Hayashi, Characterizations of completely nondeterministic stochastic processes, Pacific J. Math. 107 (1983), 307–317.

    Article  MathSciNet  MATH  Google Scholar 

  2. L. de Branges and J. Rovnyak, Square Summable Power Series, Holt, Rinehart and Winston, New York, 1966.

    MATH  Google Scholar 

  3. R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413–415.

    Article  MathSciNet  MATH  Google Scholar 

  4. E. Hayashi, The solution sets of extremal problems in H 1, Proc. Amer. Math. Soc. 93 (1985), 690–696.

    MathSciNet  MATH  Google Scholar 

  5. E. Hayashi, The kernel of a Toeplitz operator, Integral Equations and Operator Theory 9 (1986), 588–591.

    Article  MathSciNet  MATH  Google Scholar 

  6. E. Hayashi, On the classification of nearly invariant subspaces of the backward shift, Proc. Amer. Math. Soc. 110 (1990), 441–448.

    Article  MathSciNet  MATH  Google Scholar 

  7. H. Helson, Large analytic functions II, Analysis and Partial Differential Equations, C. Sadosky (ed.), Marcel Dekker, New York (1990), 217–220.

    Google Scholar 

  8. D. Hitt, Invariant subspaces of H 2 of an annulus, Pacific J. Math. 134 (1988), 101–120.

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Inoue, An example of a non-exposed extreme function in the unit ball of H 1, Proc. Edinburgh Math. Soc., forthcoming.

    Google Scholar 

  10. B. A. Lotto and D. Sarason, Multiplicative structure of de Brange’s spaces, Rev. Mat. Iberoamericana 7 (1991), 183–220.

    Article  MathSciNet  MATH  Google Scholar 

  11. D. Sarason, Shift-invariant spaces from the Brangesian point of view, The Bieberbach Conjecture — Proceedings of the Symposium on the Occasion of the Proof, Amer. Math. Soc., Providence (1986), 153–166.

    Google Scholar 

  12. D. Sarason, Doubly shift-invariant spaces in H 2, J. Operator Theory 16 (1986), 75–97.

    MathSciNet  MATH  Google Scholar 

  13. D. Sarason, Nearly invariant subspaces of the backward shift, Operator Theory Advances and Applications 35 (1988), 481–493.

    MathSciNet  Google Scholar 

  14. D. Sarason, Exposed points in H 1, J, Operator Theory Advances and Applications 41 (1989), 485–496.

    MathSciNet  Google Scholar 

  15. D. Sarason, Exposed points in H 1, II, Operator Theory Advances and Applications 48 (1990), 333–347.

    MathSciNet  Google Scholar 

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E. L. Basor I. Gohberg

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© 1994 Birkhäuser Verlag

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Sarason, D. (1994). Kernels of Toeplitz Operators. In: Basor, E.L., Gohberg, I. (eds) Toeplitz Operators and Related Topics. Operator Theory Advances and Applications, vol 71. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8543-0_10

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  • DOI: https://doi.org/10.1007/978-3-0348-8543-0_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9672-6

  • Online ISBN: 978-3-0348-8543-0

  • eBook Packages: Springer Book Archive

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