Article
Some Inequalities for the Class of Hyponormal Operators
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Abstract
This work studies some characterizations of hyponormal operators. It presents certain operator inequalities by using a modified Aluthge transform $\tilde{T}$ given as $|T|^{\frac{k}{2m}} U |T|^{\frac{k}{2m}}$, for $k \le m$, where $k,m$ are natural numbers and $U$ is a partial isometry. Under certain assumptions, together with the properties of the operator $U$, the paper concludes that the transform $\tilde{T}$ is hyponormal, $p$-hyponormal, $(p + \frac{k}{2m})$-hyponormal, and $(\frac{p+q}{p+n})$-hyponormal given that $p,q$ are positive reals.
Keywords
Aluthge transformation, partial isometry, polar decomposition, p-hyponormal and log-hyponormal operators.
Citation
Shagari, M. S. & Fulatan, I. A. (2018). Some inequalities for the class of hyponormal operators. Journal of Analysis & Number Theory, 6(1), 33–37. https://doi.org/10.18576/jant/060106
M. S. Shagari and I. A. Fulatan, “Some inequalities for the class of hyponormal operators,” Journal of Analysis & Number Theory, vol. 6, no. 1, pp. 33–37, 2018, doi: 10.18576/jant/060106.
Shagari MS, Fulatan IA. Some inequalities for the class of hyponormal operators. Journal of Analysis & Number Theory. 2018;6(1):33–37. doi:10.18576/jant/060106.
Shagari, M. S. and Fulatan, I. A. (2018), ‘Some inequalities for the class of hyponormal operators’, Journal of Analysis & Number Theory, 6(1), pp. 33–37. Available at: https://doi.org/10.18576/jant/060106.
Shagari, Mohammed Shehu, and Ibrahim Aliyu Fulatan. “Some Inequalities for the Class of Hyponormal Operators.” Journal of Analysis & Number Theory, vol. 6, no. 1, 2018, pp. 33–37. https://doi.org/10.18576/jant/060106.
Shagari, Mohammed Shehu, and Ibrahim Aliyu Fulatan. “Some Inequalities for the Class of Hyponormal Operators.” Journal of Analysis & Number Theory 6, no. 1 (2018): 33–37. https://doi.org/10.18576/jant/060106.
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Published by: Engineering Journals


