Zeana Zaki Jamil Codisk-cyclic Mixing Operators

Authors

  • Zeana Zaki Jamil University of Baghdad, College of Sicence, Mathematics Department, Iraq.

DOI:

https://doi.org/10.29304/jqcm.2022.14.4.1110

Keywords:

mixing operators, direct sum, Hilbert space, Characterization

Abstract

Let  be an infinite dimensional separable complex Hilbert space, and  be a bounded linear operator.  is called codisk mixing operator, - mixing operator, if for any non-empty open subsets  of , there are  and  such that  for all . In this paper, we studied a necessarily and sufficiently conditions of - mixing operators, and discused the direct sum of two  - mixing operators.

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References

[1] K.Grosse-Erdmann and A. Manguillot ," Linear chaos", Springer VerLag London Limited, 2011.
[2] Y. Wang and H. Zeng, Disk-cyclic and codisk-cyclic weighted pseudo-shifts, Bull. Belg. Math. Soc. Simon Stevin 25(2): 209-224 (june 2018).
[3] Z. Jamil, Cyclic phenomena of operators on Hilbert space, Ph.D. Thesis, University of Baghdad, 2002.
[4] Z. Jamil, On hereditarily codisk-cyclic operators, Baghdad Science Journal, 2022, 19(2), pp. 309–312.

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Published

2022-12-22

How to Cite

Jamil, Z. Z. (2022). Zeana Zaki Jamil Codisk-cyclic Mixing Operators. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(4), Math Page 62–65. https://doi.org/10.29304/jqcm.2022.14.4.1110

Issue

Section

Math Articles