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Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz Function

Kuldip Raj|Sunil K. Sharma|Amit Gupta
경북대학교 자연과학대학 수학과|2014.03|Kyungpook Mathematical Journal|제54권 제1호|pp. 73-86|DOI http://dx.doi.org/10.5666/KMJ.2014.54.1.73

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Orlicz functionsolidMusielak-Orlicz functionParanorm spacedifference sequence spacesmonotone etc
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초록

In the present paper we introduce difference paranormed sequencespaces c0(M, △nm, p, u, ||ㆍ,ㆍㆍㆍ,ㆍ||) , c(M, △nm, p, u, ||ㆍ,ㆍㆍㆍ,ㆍ||) and l∞(M, △nm, p, u, ||ㆍ,ㆍㆍㆍ,ㆍ||) defined by a Musielak-Orlicz function M = (Mk) over n-normed spaces. We also study some topological properties and someinclusion relations between these spaces.

Abstract

In the present paper we introduce difference paranormed sequencespaces c0(M, △nm, p, u, ||ㆍ,ㆍㆍㆍ,ㆍ||) , c(M, △nm, p, u, ||ㆍ,ㆍㆍㆍ,ㆍ||) and l∞(M, △nm, p, u, ||ㆍ,ㆍㆍㆍ,ㆍ||) defined by a Musielak-Orlicz function M = (Mk) over n-normed spaces. We also study some topological properties and someinclusion relations between these spaces.

참고문헌 (18)

  1. Y. Altın, "Properties of some sets of sequences defined by a modulus function", Acta Math. Sci. Ser. B Engl. Ed., 29, pp.427~434 (2009)
  2. M. Et, "On generalized sequence spaces", Appl. Math. Comput., 154, pp.167~173 (2004)
  3. M. Et, "On some classes of sequences defined by sequences of Orlicz functions", Math. Inequal. Appl., 9, pp.335~342 (2006)
  4. M. Et, "On generalized difference sequence spaces", Soochow J. Math., 21, pp.377~386 (1995)
  5. S. Gahler, "Linear 2-normietre Rume", Math. Nachr., 28, pp.1~43 (1965)
  6. H. Gunawan, "On n-inner product, n-norms, and the Cauchy-Schwartz inequality", Sci. Math. Jap., 5, pp.47~54 (2001)
  7. H. Gunawan, "The space of p-summable sequence and its natural n-norm", Bull. Aust. Math. Soc., 64, pp.137~147 (2001)
  8. H. Gunawan, "On n-normed spaces", Int. J. Math. Math. Sci., 27, pp.631~639 (2001)
  9. H. Kızmaz, "On certain sequence spaces", Canad. Math-Bull., 24, pp.169~176 (1981)
  10. J. Lindenstrauss, "On Orlicz sequence spaces", Israel J. Math., 10, pp.379~390 (1971)
  11. L. Maligranda, "Orlicz spaces and interpolation" (1989), Polish Academy of Science
  12. A. Misiak, "n-inner product spaces", Math. Nachr, 140, pp.299~319 (1989)
  13. J. Musielak, "Orlicz spaces and modular spaces" (1983), Lecture Notes in Matthematics
  14. K. Raj, "A Sequence space defined by a Musielak-Orlicz function", Int. J. Pure Appl. Math, 67, pp.475~484 (2011)
  15. K. Raj, "Some difference sequence spaces in n-normed spaces defined by a Musielak-Orlicz function", Armen. J. Math., 3, pp.127~141 (2010)
  16. K. Raj, "Some sequence spaces in 2-normed spaces defined by a Musielak-Orlicz function", Acta Univ. Sapientiae Math., 3, pp.97~109 (2011)
  17. B. C. Tripathy, "Some difference paranormed sequence spaces defined by Orlicz functions", Fasciculi Math., Nr, 42, pp.121~131 (2009)
  18. A. Wilansky, "Summability through Functional Analysis", North- Holland Math. Stud., 85 (1984)

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