Double sequence spaces over n -normed spaces

Kuldip Raj; Sunil K. Sharma

Archivum Mathematicum (2014)

  • Volume: 050, Issue: 2, page 65-76
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Raj, Kuldip, and Sharma, Sunil K.. "Double sequence spaces over $n$-normed spaces." Archivum Mathematicum 050.2 (2014): 65-76. <http://eudml.org/doc/261162>.

@article{Raj2014,
abstract = {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.},
author = {Raj, Kuldip, Sharma, Sunil K.},
journal = {Archivum Mathematicum},
keywords = {paranorm space; Orlicz function; solid; monotone; double sequences; $n$-normed space; paranormed space; Orlicz function; solid; monotone; double sequences; -normed space},
language = {eng},
number = {2},
pages = {65-76},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Double sequence spaces over $n$-normed spaces},
url = {http://eudml.org/doc/261162},
volume = {050},
year = {2014},
}

TY - JOUR
AU - Raj, Kuldip
AU - Sharma, Sunil K.
TI - Double sequence spaces over $n$-normed spaces
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 2
SP - 65
EP - 76
AB - 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.
LA - eng
KW - paranorm space; Orlicz function; solid; monotone; double sequences; $n$-normed space; paranormed space; Orlicz function; solid; monotone; double sequences; -normed space
UR - http://eudml.org/doc/261162
ER -

References

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