A formula for gap between K-relatively bounded operator matrices in non-Archimedean Banach spaces

被引：0
|
作者：
Ammar, Aymen [1 ]
Lazrag, Nawrez [1 ]
机构：
[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra Rd Km 3-5,BP 1171, Sfax 3000, Tunisia
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 04期
关键词：
Non-Archimedean Banach space; K-relatively; Matrix of linear operator; Gap; Generalized convergence;
D O I：
10.1007/s12215-022-00807-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
To study the notion of gap between two operator matrices on non-Archimedean Banach spaces, it is natural to take stability of closedness for these matrices into account due to the definitions of K-diagonally dominant and off-K-diagonally dominant operator matrices. So, we shall study this problem in the present paper. Furthermore, under sufficient conditions, we give a counterpart of the generalized convergence for a operator matrix.
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页码：2469 / 2497
页数：29
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