On the geometric properities of new type modular space

Autor: Mehmet Sengonul
Rok vydání: 2012
Předmět:
Zdroj: Tamkang Journal of Mathematics. 43:159-170
ISSN: 2073-9826
0049-2930
DOI: 10.5556/j.tkjm.43.2012.687
Popis: 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 $k\in\mathbb{N}$.
Databáze: OpenAIRE