Estimations of s-Numbers of an Infinite Matrix Operator on H1β Spaces

Journal of Applied & Computational Mathematics

article

Abd El Ghaffar H¹ 

[1] Department of Mathematics, Faculty of Science, Ain Shams University

关键词: Approximation numbers;    Infinite matrix;    Weighted sequence;   

DOI  :  10.4172/2168-9679.1000318

来源: Hilaris Publisher

【 摘 要 】

In this paper we study conditions that an infinite matrix has to satisfy in order to define a linear bounded operator from any weighted with a weight sequence ß={ ßi} of positive numbers into itself, and give upper and lower estimations of the approximation numbers of such an infinite matrix.

【 授权许可】

Unknown