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ON I-CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY A COMPACT OPERATOR AND MODULUS FUNCTIONS

TANWEER JALAL
장전수학회 (Jangjeon Mathematical Society)|2018.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제21권 제4호|pp. 679-688|DOI 10.17777/pjms.2018.21.4.010

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키워드

Double sequence spacesmodulus functionsideal convergencecompact operator
주제분류수학

초록

In this paper we introduce and study I-convergent double sequence spaces 2SI0 (F, p), 2SI (F, p) and 2SI∞ (F, p) with the help of compact operator T on the real space R and a sequence of modulus functions F = (fij ). We investigate some topological and algebraic properties, and also prove some inclusion relations on these spaces.

Abstract

In this paper we introduce and study I-convergent double sequence spaces 2SI0 (F, p), 2SI (F, p) and 2SI∞ (F, p) with the help of compact operator T on the real space R and a sequence of modulus functions F = (fij ). We investigate some topological and algebraic properties, and also prove some inclusion relations on these spaces.

참고문헌 (25)

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Paranormed I-convergent Double Sequence Spaces Associated with Multiplier SequencesBinod Chandra Tripathy, Mausumi Sen경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호Strongly Summable Double Sequence Spaces in n−Normed Spaces Defined by Ideal Convergence and an Orlicz FunctionAyhan Esi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제2호SOME DIFFERENCE SEQUENCE SPACES OF INFINITE MATRIX AND ORLICZ FUNCTIONCHARU SHARMA, Kuldip Raj장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호On paranorm type intuitionistic fuzzy Zweier I-convergent sequence spacesAyhan Esi, Hira Fatima, Vakeel A. Khan, Yasmeen기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제1호New Lacunary Strong Convergence Difference Sequence Spaces Defined by Sequence of ModuliQ. M. Danish Lohani, Vakeel A.Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means Defined by a Sequence of Modulus FunctionsÇiğdem Asma Bektaş, Gülcan Atici경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호

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