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On the geometric properities of new type modular space

DOI: 10.5556/j.tkjm.43.2012.159-170

Keywords: Modular spaces , Kadec-Klee property , Banach space , rotund , Nakano space

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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 $kinmathbb{N}$.

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