Some degenerate binomial sequence spaces and related matrix transformations and compactness

被引：0

作者：

Dagli, Muhammet Cihat ^{[1
]}

Sarigoez Oktar, Buesra ^{[1
]}

机构：

[1] Akdeniz Univ, Dept Math, Antalya, Turkiye

来源：

JOURNAL OF ANALYSIS | 2024年 / 32卷 / 05期

关键词：

Binomial sequence spaces; Matrix transformation; alpha-; beta-; gamma-duals; Compact operators; DIFFERENCE OPERATOR; HAUSDORFF MEASURE; L(P); MAPPINGS; INCLUDE; ORDER;

D O I：

10.1007/s41478-024-00731-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of this paper is to introduce some degenerate binomial sequence spaces and to mention that these are linearly isomorphic to the spaces c(0) and c. As well, we establish alpha-, beta-, gamma-duals for these spaces and certain characterizations for some matrix classes. As an application, we deduce the characterization of certain compact operators via the Hausdorff measure of noncompactness.

引用

页码：2415 / 2431

页数：17

共 37 条

[1] On the Euler sequence spaces which include the spaces lp and l∞I [J].