Double sequence spaces over $n$-normed spaces
Archivum mathematicum, Tome 50 (2014) no. 2, pp. 65-76
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In this paper, we define some classes of double sequences over $n$-normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
DOI :
10.5817/AM2014-2-65
Classification :
40A05, 40C05, 40D05, 46A70
Keywords: paranorm space; Orlicz function; solid; monotone; double sequences; $n$-normed space
Keywords: paranorm space; Orlicz function; solid; monotone; double sequences; $n$-normed space
@article{10_5817_AM2014_2_65,
author = {Raj, Kuldip and Sharma, Sunil K.},
title = {Double sequence spaces over $n$-normed spaces},
journal = {Archivum mathematicum},
pages = {65--76},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {2014},
doi = {10.5817/AM2014-2-65},
mrnumber = {3215280},
zbl = {06391566},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-65/}
}
TY - JOUR AU - Raj, Kuldip AU - Sharma, Sunil K. TI - Double sequence spaces over $n$-normed spaces JO - Archivum mathematicum PY - 2014 SP - 65 EP - 76 VL - 50 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-65/ DO - 10.5817/AM2014-2-65 LA - en ID - 10_5817_AM2014_2_65 ER -
Raj, Kuldip; Sharma, Sunil K. Double sequence spaces over $n$-normed spaces. Archivum mathematicum, Tome 50 (2014) no. 2, pp. 65-76. doi: 10.5817/AM2014-2-65
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