Some Properties of* - Quasihyponormal Operators

Authors

  • Nidaa Muraeh Atheab Wasit University College of Education Department of Mathematics Author
  • Salim Dawood Mohsen AL-Mustansirya University College of Education, Department of Mathematics Author

DOI:

https://doi.org/10.61841/93yt8x46

Keywords:

Hilbert Spaces, Hyponormal Operators, Quasihyponormal Operators

Abstract

In this paper, we introduce a new generalization for the hyponormal operator, which is *-quasihyponormal, and discuss some important theorems of this concept, as well as some properties of this operator that have been given following this work. Finally, this work gives another objective: solvability of some types of bounded linear operator called - -commuting operator equations when there is a *-quasihyponormal operator and finding the value  of these equations in a Hilbert space H. 

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References

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Hyponormal Operators,” Bulletin of Mathematical Analysis and Applications, Vol. 1, Issu. 2, (23-35).

[3] Shila Devi (1972), ” A New Class of Operators,” Abstract No. 166, Indian Math. Soc. Conference.

[4] P.R. Halmos, (1950), “Normal Dilations and Extension of Operators,” Summa Brasiliensis Math., 2, (124-

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[5] Y.M. Han and Ju Hee Son, (2011), “On quasi-M-Hyponormal Operators,” Faculty of Sciences and

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Published

31.07.2020

Issue

Vol. 24 No. 5 (2020): 24 (5) 2020

Section

Articles

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How to Cite

Muraeh Atheab, N., & Dawood Mohsen, S. (2020). Some Properties of* - Quasihyponormal Operators. International Journal of Psychosocial Rehabilitation, 24(5), 3962-3970. https://doi.org/10.61841/93yt8x46