Research Article Open Access

S-Numbers of Weighted Shift Operators on P-Summable Formal Entire Functions of M-Variables

Nashat Faried1, Z.A. Hassanain2, H. Abd El Ghaffar3 and A. Lokman3
  • 1 Ain Shams Universit, Egypt
  • 2 El-Gazeera High Institute for Engineering and Technology, Egypt
  • 3 Ain Shams University, Egypt

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.

Journal of Mathematics and Statistics
Volume 15 No. 1, 2019, 79-85

DOI: https://doi.org/10.3844/jmssp.2019.79.85

Submitted On: 16 December 2018 Published On: 3 May 2019

How to Cite: 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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Keywords

  • S-Numbers
  • Shift Operators
  • Formal Power Series