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$\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes

Year 2019, , 42 - 43, 20.03.2019

Benard Okelo

https://doi.org/10.32323/ujma.473484

Abstract

The notion of supraposinormality was introduced by Rhaly in a superclass of posinormal operators. In this paper, we give an extension of this notion of supraposinormality to $\alpha$-supraposinormality of operators in the dense norm-attainable class.

Keywords

Posinormal operator Hyponormal operator Norm-attainable class $\alpha$-supraposinormality

References

  • [1] C. S. Kubrusly and B. P. Duggal, On posinormal operators, Adv. Math. Sci. Appl. 17 (1) (2007), 131-147.
  • [2] G. Leibowitz, Rhaly matrices, J. Math. Anal. Appl. 128 (1) (1987), 272-286.
  • [3] H. C. Rhaly Jr., A superclass of the posinormal operators, Newyork J. Math. 20 (2014), 497-506.
  • [4] N. B. Okelo, The norm-attainability of some elementary operators, Appl. Math. E-Notes 13 (2013), 1-7.
  • [5] N. B. Okelo, J. O. Agure and P. O. Oleche, Certain conditions for norm-attainability of elementary operators and derivations, Int. J. of Math. and Soft Comp. 3 (1) (2013), 1-7.

Year 2019, , 42 - 43, 20.03.2019

Benard Okelo

https://doi.org/10.32323/ujma.473484

Abstract

References

  • [1] C. S. Kubrusly and B. P. Duggal, On posinormal operators, Adv. Math. Sci. Appl. 17 (1) (2007), 131-147.
  • [2] G. Leibowitz, Rhaly matrices, J. Math. Anal. Appl. 128 (1) (1987), 272-286.
  • [3] H. C. Rhaly Jr., A superclass of the posinormal operators, Newyork J. Math. 20 (2014), 497-506.
  • [4] N. B. Okelo, The norm-attainability of some elementary operators, Appl. Math. E-Notes 13 (2013), 1-7.
  • [5] N. B. Okelo, J. O. Agure and P. O. Oleche, Certain conditions for norm-attainability of elementary operators and derivations, Int. J. of Math. and Soft Comp. 3 (1) (2013), 1-7.
There are 5 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Benard Okelo 0000-0003-3963-1910

Publication Date March 20, 2019
Submission Date October 22, 2018
Acceptance Date November 29, 2018
Published in Issue Year 2019

Cite

APA Okelo, B. (2019). $\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes. Universal Journal of Mathematics and Applications, 2(1), 42-43. https://doi.org/10.32323/ujma.473484
AMA Okelo B. $\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes. Univ. J. Math. Appl. March 2019;2(1):42-43. doi:10.32323/ujma.473484
Chicago Okelo, Benard. “$\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes”. Universal Journal of Mathematics and Applications 2, no. 1 (March 2019): 42-43. https://doi.org/10.32323/ujma.473484.
EndNote Okelo B (March 1, 2019) $\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes. Universal Journal of Mathematics and Applications 2 1 42–43.
IEEE B. Okelo, “$\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes”, Univ. J. Math. Appl., vol. 2, no. 1, pp. 42–43, 2019, doi: 10.32323/ujma.473484.
ISNAD Okelo, Benard. “$\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes”. Universal Journal of Mathematics and Applications 2/1 (March 2019), 42-43. https://doi.org/10.32323/ujma.473484.
JAMA Okelo B. $\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes. Univ. J. Math. Appl. 2019;2:42–43.
MLA Okelo, Benard. “$\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes”. Universal Journal of Mathematics and Applications, vol. 2, no. 1, 2019, pp. 42-43, doi:10.32323/ujma.473484.
Vancouver Okelo B. $\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes. Univ. J. Math. Appl. 2019;2(1):42-3.

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