Codisk–recurrent operators on Hilbert spaces
*Mayada N. MohammedaliCorresponding authormayada.ali2303@sc.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BaghdadBaghdad, IraqView full profile → , Zeana Zaki Jamilzina.z@sc.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BaghdadBaghdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 May 2025
- Published Online:
- 27 Jun 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2302
- Pages:
- 1205–1210
Abstract
Keywords
Subject Classifications
References
[1] F. Bayart and É. Matheron, Dynamics of Linear Operators, vol. 179 of Cambridge Tracts in Mathematics. Cambridge, UK: Cambridge University Press (2009), doi: 10.1017/CBO9780511581113.
[2] K.-G. Grosse-Erdmann and A. P. Manguillot, Linear Chaos. London, UK: Springer (2011), doi: 10.1007/978-1-4471-2170-1.
[3] Q. Menet, “Hypercyclic subspaces and weighted shifts,” Advances in Mathematics, vol. 255, pp. 305–337 (2014), doi: 10.1016/j.aim.2014.01.005.
[4] Y. Liu and X. Cao, “a-Weyl’s theorem and hypercyclicity,” Monatshefte für Mathematik, vol. 204, no. 1, pp. 107–125 (2024), doi: 10.1007/s00605-023-01924-8.
[5] J. Fariña-Asategui, “Cyclicity, hypercyclicity and randomness in self-similar groups,” Monatshefte für Mathematik, vol. 207, no. 2, pp. 275-292 (2025). doi: 10.1007/s00605-025-02061-6.
[6] S. Rolewicz, “On orbits of elements,” Studia Mathematica, vol. 32, no. 1, pp. 17–22 (1969), doi: 10.4064/sm-32-1-17-22.
[7] P. R. Stoeva and D. T. Stoeva, “Cyclic vectors and invariant subspaces for unbounded multiplication operators on Hilbert space,” Journal of Mathematical Analysis and Applications, vol. 478, no. 1, pp. 249–255 (2019), doi: 10.1016/j.jmaa.2019.05.031.
[8] Y. Wang and H.-G. Zeng, “Disk-cyclic and codisk-cyclic weighted pseudo-shifts,” Bulletin of the Belgian Mathematical Society–Simon Stevin, vol. 25, no. 2, pp. 209–224 (2018), doi: 10.36045/bbms/1529478224.
[9] Z. Z. Jamil, “Codisk-cyclic mixing operators,” Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 14, no. 4, pp. 62–68 (2022).
[10] N. Bamerni, “Subspace diskcyclic tuples of operators on Banach spaces,” Italian Journal of Pure and Applied Mathematics, no. 50, pp. 159–167 (2023).
[11] A. Ech-Chakouri and H. Zguitti, “On the Cesàro hypercyclic linear relations,” Advances in Operator Theory, vol. 9, no. 4, pp. 1–22 (2024), doi: 10.1007/s43036-024-00387-w.
[12] G. Costakis, A. Manoussos, and I. Parissis, “Recurrent linear operators,” Complex Analysis and Operator Theory, vol. 8, no. 8, pp. 1601–1643 (2014), doi: 10.1007/s11785-013-0348-9.
[13] G. Costakis and I. Parissis, “Szemerédi’s theorem, frequent hypercyclicity and multiple recurrence,” Mathematica Scandinavica, vol. 110, no. 2, pp. 251–272 (2012), doi: 10.7146/math.scand.a-15207.
[14] M. Amouch and O. Benchiheb, “On a class of super-recurrent operators,” Filomat, vol. 36, no. 11, pp. 3701–3708 (2022), doi: 10.2298/FIL2211701A.
[15] A. Bonilla, K.-G. Grosse-Erdmann, A. López-Martínez, and A. Peris, “Frequently recurrent operators,” Journal of Functional Analysis, vol. 283, no. 12, Art. no. 109713 (2022), doi: 10.1016/j.jfa.2022.109713.
[16] M. Amouch, H. Lakrimi, and E. Jadida, “Recurrence and mixing recurrence of multiplication operators,” Mathematica Bohemica, vol. 149, no. 1, pp. 1–11 (2024), doi: 10.21136/MB.2023.0047-22.
[17] S. Grivaux and A. L. Alfred, “Questions in linear recurrence I: The T⊕T-recurrence problem,” Analysis and Mathematical Physics, vol. 15, no. 1, pp. 1–26 (2025), doi: 10.1007/s13324-024-00999-8.
[18] R. Das, J. Mishra, S. Mishra, and P. K. Pattnaik, “Design of mathematical model for the prediction of rainfall,” Journal of Interdisciplinary Mathematics, vol. 25, no. 3, pp. 587–613 (2022), doi: 10.1080/09720502.2021.1897862.
[19] S. K. Das, J. Mishra, and S. R. Nayak, “A mathematical model for generation of interactive fractals using a fourth order fractal square: A case study,” Journal of Interdisciplinary Mathematics, vol. 25, no. 7, pp. 1979–1988 (2022), doi: 10.1080/09720502.2022.2031888.
