On the geometric properities of new type modular space

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Published: Jun 28, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.687
Keywords:
Modular spaces Kadec-Klee property Banach space rotund Nakano space

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Mehmet Sengonul
Faculty of Arts and Sciences, Department ofMathematics, Nev¸sehir Üniversitesi, 2000 EvlerMah. Züeyde Hanım Cad. 50300 NEVSEHIR.

Abstract

In this paper, using a modular, we have defined the modular space $M_{m^*}(p)$ and we have shown that the sequence space $M_{m^*}(p)$ equipped with the Luxemburg norm is rotund and possesses H-property (or Kadec-Klee property) when $p=(p_k)$ is bounded with $p_k>1$ for all $k\in\mathbb{N}$.

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How to Cite
Sengonul, M. (2012). On the geometric properities of new type modular space. Tamkang Journal of Mathematics, 43(2), 159–170. https://doi.org/10.5556/j.tkjm.43.2012.687
Issue
Vol. 43 No. 2 (2012)
Section
Papers
Author Biography

Mehmet Sengonul, Faculty of Arts and Sciences, Department ofMathematics, Nev¸sehir Üniversitesi, 2000 EvlerMah. Züeyde Hanım Cad. 50300 NEVSEHIR.

Nevşehir Universitesi, Matematik bölümü

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