A New Sequence Space Defined by a Sequence of Orlicz Functions over n -Normed Spaces

Kuldip Raj; Sunil K. Sharma

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2012)

  • Volume: 51, Issue: 1, page 89-100
  • ISSN: 0231-9721

Abstract

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In this paper we introduce a new sequence space B V σ ( ℳ , u , p , r , ∥ · , ... , · ∥ ) defined by a sequence of Orlicz functions ℳ = ( M k ) and study some topological properties of this sequence space.

How to cite

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Raj, Kuldip, and Sharma, Sunil K.. "A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 51.1 (2012): 89-100. <http://eudml.org/doc/246395>.

@article{Raj2012,
abstract = {In this paper we introduce a new sequence space $ BV_\{\sigma \}(\mathcal \{M\},u,p,r, \Vert \cdot , \ldots , \cdot \Vert )$ defined by a sequence of Orlicz functions $\mathcal \{M\} = (M_k)$ and study some topological properties of this sequence space.},
author = {Raj, Kuldip, Sharma, Sunil K.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {paranorm space; invariant mean; orlicz function; Musielak–orlicz function; $n$-normed space; solid; paranormed space; invariant mean; Orlicz function; Musielak-Orlicz function; -normed space; solid},
language = {eng},
number = {1},
pages = {89-100},
publisher = {Palacký University Olomouc},
title = {A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces},
url = {http://eudml.org/doc/246395},
volume = {51},
year = {2012},
}

TY - JOUR
AU - Raj, Kuldip
AU - Sharma, Sunil K.
TI - A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2012
PB - Palacký University Olomouc
VL - 51
IS - 1
SP - 89
EP - 100
AB - In this paper we introduce a new sequence space $ BV_{\sigma }(\mathcal {M},u,p,r, \Vert \cdot , \ldots , \cdot \Vert )$ defined by a sequence of Orlicz functions $\mathcal {M} = (M_k)$ and study some topological properties of this sequence space.
LA - eng
KW - paranorm space; invariant mean; orlicz function; Musielak–orlicz function; $n$-normed space; solid; paranormed space; invariant mean; Orlicz function; Musielak-Orlicz function; -normed space; solid
UR - http://eudml.org/doc/246395
ER -

References

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