Orlicz-Lacunary bicomplex sequence spaces of difference operators

被引：1

作者：

Raj, Kuldip ^{[1
]}

Esi, Ayhan ^{[2
]}

Sharma, Charu ^{[1
]}

机构：

[1] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, J&K, India

[2] Malatya Turgut Ozal Univ, Dept of Basic Eng Sci, Math Sect, Malatya 44100, Turkiye

来源：

FILOMAT | 2023年 / 37卷 / 08期

关键词：

Orlicz function; paranorm space; lacunary sequence spaces; bicomplex sequence spaces; solidity;

D O I：

10.2298/FIL2308421R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to study some algebraic and topological properties of these sequence spaces. We also show that these spaces are complete paranormed spaces. Further, some inclusion relations between these spaces and some interesting examples are established. Finally, we prove some results on modified complex Banach Algebra in the third section of the paper.

引用

页码：2421 / 2435

页数：15

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