Double Sequence Spaces Definedby a Sequence of Modulus Functions over $n$-normed Spaces
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 117-134
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In the present paper we introduce some double sequence spaces defined by a sequence of modulus function $ F = (f_{k,l})$ over $n$-normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.
Classification :
40C05, 42B15
Keywords: double sequences; $P$-convergent; modulus function; paranorm space
Keywords: double sequences; $P$-convergent; modulus function; paranorm space
@article{AUPO_2014__53_1_a8,
author = {Sharma, Sunil K. and Esi, Ayhan},
title = {Double {Sequence} {Spaces} {Definedby} a {Sequence} of {Modulus} {Functions} over $n$-normed {Spaces}},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {117--134},
publisher = {mathdoc},
volume = {53},
number = {1},
year = {2014},
mrnumber = {3331075},
zbl = {06416946},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a8/}
}
TY - JOUR AU - Sharma, Sunil K. AU - Esi, Ayhan TI - Double Sequence Spaces Definedby a Sequence of Modulus Functions over $n$-normed Spaces JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2014 SP - 117 EP - 134 VL - 53 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a8/ LA - en ID - AUPO_2014__53_1_a8 ER -
%0 Journal Article %A Sharma, Sunil K. %A Esi, Ayhan %T Double Sequence Spaces Definedby a Sequence of Modulus Functions over $n$-normed Spaces %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2014 %P 117-134 %V 53 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a8/ %G en %F AUPO_2014__53_1_a8
Sharma, Sunil K.; Esi, Ayhan. Double Sequence Spaces Definedby a Sequence of Modulus Functions over $n$-normed Spaces. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 117-134. http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a8/