A GENERALIZATION OF ORLICZ SEQUENCE SPACES DERIVED BY QUADRUPLE SEQUENTIAL BAND MATRIX

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 127

Volume : 17 , Issue : 1
DOI:
Author :
Salila Dutta (Department of Mathematics, Utkal Unversity, Vani Vihar, Bhubaneswar - 751004, Odisha, INDIA)
Nilambar Tripathy (Department of Mathematics, Utkal Unversity, Vani Vihar, Bhubaneswar - 751004, Odisha, INDIA)

Abstract

In this article we have introduced a new Orlicz sequence space $l_p^\lambda(M,B)$ derived by a quadruple sequential band matrix associated with an Orlicz function and lambda matrix. Further, we have studied some topological properties and inclusion relations of this space.

Keywords and Phrases

Orlicz function, Four band matrix, Lambda matrix, $AK$-space, $BK$-space.

A.M.S. subject classification

40A05, 40C05, 46A45, 46B45.

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