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Weighted Shift Operators Which are m-Isometries

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Abstract

We give a characterization of m-isometric operators on a separable Hilbert space. Moreover, we characterize the unilateral weighted shift operators which are m-isometries.

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References

  1. Agler J.: A disconjugacy theorem for Toeplitz operators. Am. J. Math. 112(1), 1–14 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  2. Agler J., Stankus M.: m-Isometric transformations of Hilbert space. I. Integral Equ. Oper. Theory 21(4), 383–429 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  3. Agler J., Stankus M.: m-Isometric transformations of Hilbert space. II. Integral Equ. Oper. Theory 23(1), 1–48 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  4. Agler J., Stankus M.: m-Isometric transformations of Hilbert space. III. Integral Equ. Oper. Theory 24(4), 379–421 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  5. Athavale A.: Some operator theoretic calculus for positive definite kernels. Proc. Am. Math. Soc. 112(3), 701–708 (1991)

    MATH  MathSciNet  Google Scholar 

  6. Lebedev N.N.: Special Functions and their Applications. Dover, New York (1972)

    MATH  Google Scholar 

  7. Patel S.M.: 2-Isometry operators. Glasnik Matematički 37(57), 143–147 (2002)

    Google Scholar 

  8. Shields A., Weighted shift operators and analytic function theory. In: Pearcy, C. (ed.) Topics in Operator Theory, pp. 49–128. Math. Surveys, vol. 13. American Mathematical Society, Providence (1974)

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de La Laguna, 38271, La Laguna (Tenerife), Spain

    Teresa Bermúdez, Antonio Martinón & Emilio Negrín

Authors
  1. Teresa Bermúdez
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  2. Antonio Martinón
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  3. Emilio Negrín
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Correspondence to Teresa Bermúdez.

Additional information

Dedicated to Professor José M. R. Méndez Pérez on occasion of his 60th birthday

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Bermúdez, T., Martinón, A. & Negrín, E. Weighted Shift Operators Which are m-Isometries. Integr. Equ. Oper. Theory 68, 301–312 (2010). https://doi.org/10.1007/s00020-010-1801-z

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  • DOI: https://doi.org/10.1007/s00020-010-1801-z

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