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

Yıl 2019, Cilt: 2 Sayı: 1, 42 - 43, 20.03.2019

Benard Okelo

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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• [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.