Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function

Raj, Kuldip; Sharma, Sunil K.

Serdica Mathematical Journal (2014)

  • Volume: 40, Issue: 1, page 19-40
  • ISSN: 1310-6600

Abstract

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In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces. 2010 Mathematics Subject Classification: 40A05, 46A45, 46E30.

How to cite

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Raj, Kuldip, and Sharma, Sunil K.. "Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function." Serdica Mathematical Journal 40.1 (2014): 19-40. <http://eudml.org/doc/295006>.

@article{Raj2014,
abstract = {In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces. 2010 Mathematics Subject Classification: 40A05, 46A45, 46E30.},
author = {Raj, Kuldip, Sharma, Sunil K.},
journal = {Serdica Mathematical Journal},
keywords = {Orlicz function; Musielak–Orlicz function; Lacunary sequence; n-normed spaces; paranorm space},
language = {eng},
number = {1},
pages = {19-40},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function},
url = {http://eudml.org/doc/295006},
volume = {40},
year = {2014},
}

TY - JOUR
AU - Raj, Kuldip
AU - Sharma, Sunil K.
TI - Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function
JO - Serdica Mathematical Journal
PY - 2014
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 40
IS - 1
SP - 19
EP - 40
AB - In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces. 2010 Mathematics Subject Classification: 40A05, 46A45, 46E30.
LA - eng
KW - Orlicz function; Musielak–Orlicz function; Lacunary sequence; n-normed spaces; paranorm space
UR - http://eudml.org/doc/295006
ER -

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