S-Numbers of Weighted Shift Operators on P-Summable Formal Entire Functions of M-Variables
Nashat Faried1, Z.A. Hassanain2, H. Abd El Ghaffar3 & A. Lokman3 Show affiliations
- Ain Shams Universit, Egypt
- El-Gazeera High Institute for Engineering and Technology, Egypt
- Ain Shams University, Egypt
Journal of Mathematics and Statistics, Volume 15, Issue 1, pp. 79–85 · doi.org/10.3844/jmssp.2019.79.85
Abstract
The idea of multiplying a formal Taylor power series by z to make a right shift operator on the space of all square summable sequences of real numbers was due to A.L. Shield. In this work, we consider Taylor power series in m-variables and we give upper and lower estimations of s-numbers for multiplication of m- right weighted shift operators. This allowed us to estimate upper bounds for s-numbers of infinite series of m-right weighted shift operators and give some applications.
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Faried, N., Hassanain, Z., Abd El Ghaffar, H. & Lokman, A. (2019). S-Numbers of Weighted Shift Operators on P-Summable Formal Entire Functions of M-Variables. Journal of Mathematics and Statistics, 15(1), 79–85. https://doi.org/10.3844/jmssp.2019.79.85
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