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A Supercyclic Weighted Shift Has Cyclic Square

Author

Listed:
  • Musa Siddig

    (University of Kordofan, Faculty of Science, Department of Mathematics, Sudan)

  • Amani Elseid Abuzeid

    (Department of Mathematics, College of Aldaier, Jazan University, Saudi Arabia)

  • Abdalgadir Albushra

    (Sudan University of Science and Technology College of Education, Department of Mathematics, Sudan)

  • Shazli Mohammed

    (4University of Bahri, Colloge of Applied & Industrial Sciences ,Department of Mathematics, Sudan)

Abstract

 It is demonstrated that for a weighted abounded bilateral shift acting on when supercyclicity of weak supercyclicity of cyclicity of and cyclicity of are equivalent. A new sufficient condition for cyclicity of a weighted bilateral shift is proved, which implies, in particular, that any compact weighted bilateral shift is cyclic.

Suggested Citation

  • Musa Siddig & Amani Elseid Abuzeid & Abdalgadir Albushra & Shazli Mohammed, 2025. "A Supercyclic Weighted Shift Has Cyclic Square," International Journal of Research and Innovation in Social Science, International Journal of Research and Innovation in Social Science (IJRISS), vol. 9(9), pages 7269-7277, September.
    • Handle: RePEc:bcp:journl:v:9:y:2025:issue-9:p:7269-7277
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