The space bv(p), its betha¿dual and matrix transformations

• Autores: Eberhard Malkowsky, Abdullah M. Jarrah
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 55, Fasc. 2, 2004, págs. 151-162
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Let $p = (p_k)^\infty_{k =0}$ be a sequence with $p_k > 0$ for all $k$. We consider the space $bv(p) = \{x\in\omega : \sum^\infty_{k=0}\vert x_k - x_{k-1}\vert^{p_k} < \infty\}$, study its $\beta$-dual and characterize some matrix transformations on $bv(p)$ which yield the results in [16] and [13] as special cases.

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