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On Some Subspace Codiskcyclic Operators in Banach Spaces

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  • Peter Masong Slaa
  • Santosh Kumar
  • Marco Mpimbo

Abstract

This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators. The paper also demonstrates the existence of subspace codiskcyclic operators in finite-dimensional Banach spaces, a result that does not hold for subspace hypercyclic operators. These findings contribute to the growing theory of linear dynamical systems, operator theory, and functional analysis.

Suggested Citation

  • Peter Masong Slaa & Santosh Kumar & Marco Mpimbo, 2025. "On Some Subspace Codiskcyclic Operators in Banach Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2025, pages 1-8, September.
    • Handle: RePEc:hin:jijmms:5543431
    DOI: 10.1155/ijmm/5543431
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