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

N. Faried, Z. A. Hassanain, H. A. Ghaffar, A. Lokman
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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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m -变量的p -可和形式完整函数上的s -数加权移位算子
将一个正式的泰勒幂级数乘以z以在实数的所有平方可和序列的空间上得到右移算子的想法是由a·l·希尔德提出的。本文考虑m变量的泰勒幂级数,给出了m-右加权移位算子乘法的s数的上估计和下估计。这使我们能够估计m-右加权移位算子无穷级数的s个数的上界,并给出一些应用。
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0.70
自引率
33.30%
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