Vector valued multiple sequence spaces defined by Orlicz function

In this article we define some vector valued multiple sequence space defined by Orlicz function. We study some of their properties like solidness, symmetry, completeness etc and prove some inclusion results.

Bibliographic Details
Main Authors: Binod Chandra Tripathy, Rupanjali Goswami
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2015-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21602
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spelling doaj-a496f4d4196749949f3a58e5bf2b58b02020-11-25T00:44:48ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882015-02-01331677910.5269/bspm.v33i1.2160210780Vector valued multiple sequence spaces defined by Orlicz functionBinod Chandra Tripathy0Rupanjali Goswami1Institute of Advanced Study in Science and Technology Mathematical Science DivisionRaha Higher Secondary School Department of MathematicsIn this article we define some vector valued multiple sequence space defined by Orlicz function. We study some of their properties like solidness, symmetry, completeness etc and prove some inclusion results.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21602Orlicz functioncompletenessseminormregular convergencesolid space
collection DOAJ
language English
format Article
sources DOAJ
author Binod Chandra Tripathy
Rupanjali Goswami
spellingShingle Binod Chandra Tripathy
Rupanjali Goswami
Vector valued multiple sequence spaces defined by Orlicz function
Boletim da Sociedade Paranaense de Matemática
Orlicz function
completeness
seminorm
regular convergence
solid space
author_facet Binod Chandra Tripathy
Rupanjali Goswami
author_sort Binod Chandra Tripathy
title Vector valued multiple sequence spaces defined by Orlicz function
title_short Vector valued multiple sequence spaces defined by Orlicz function
title_full Vector valued multiple sequence spaces defined by Orlicz function
title_fullStr Vector valued multiple sequence spaces defined by Orlicz function
title_full_unstemmed Vector valued multiple sequence spaces defined by Orlicz function
title_sort vector valued multiple sequence spaces defined by orlicz function
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2015-02-01
description In this article we define some vector valued multiple sequence space defined by Orlicz function. We study some of their properties like solidness, symmetry, completeness etc and prove some inclusion results.
topic Orlicz function
completeness
seminorm
regular convergence
solid space
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21602
work_keys_str_mv AT binodchandratripathy vectorvaluedmultiplesequencespacesdefinedbyorliczfunction
AT rupanjaligoswami vectorvaluedmultiplesequencespacesdefinedbyorliczfunction
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