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Non‐Weakly Supercyclic Weighted Composition Operators

Author

Listed:
  • Z. Kamali
  • K. Hedayatian
  • B. Khani Robati

Abstract

We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted composition operators on the space of analytic functions on the open unit disc.

Suggested Citation

  • Z. Kamali & K. Hedayatian & B. Khani Robati, 2010. "Non‐Weakly Supercyclic Weighted Composition Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:143808
    DOI: 10.1155/2010/143808
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    References listed on IDEAS

    as
    1. Karim Hedayatian & Lotfollah Karimi, 2009. "On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    2. Karim Hedayatian & Lotfollah Karimi, 2009. "On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, November.
    3. M. Haji Shaabani & B. Khani Robati, 2009. "On the Norm of Certain Weighted Composition Operators on the Hardy Space," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-13, August.
    4. M. Haji Shaabani & B. Khani Robati, 2009. "On the Norm of Certain Weighted Composition Operators on the Hardy Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
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