On Some Subspace Codiskcyclic Operators in Banach Spaces

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.

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Publication Details

Journal
International Journal of Mathematics and Mathematical Sciences
Published
2025-01-01
DOI
https://doi.org/10.1155/ijmm/5543431
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On Some Subspace Codiskcyclic Operators in Banach Spaces

Marco Mpimbo, Peter Masong Slaa, Santosh Kumar
International Journal of Mathematics and Mathematical Sciences
Holomorphic and Operator Theory
article

On Some Subspace Codiskcyclic Operators in Banach Spaces

Marco Mpimbo, Peter Masong Slaa, Santosh Kumar
article en

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.

International Journal of Mathematics and Mathematical SciencesVol. 2025(1)
University of Dar es Salaam (TZ), North Eastern Hill University (IN)
Openalex Percentile: Top 64%
Holomorphic and Operator Theory
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