On weigthed James' spaces

• Autores: M. Angeles Miñarro
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 47, Fasc. 1, 1996, págs. 47-53
• Idioma: inglés
• Enlaces
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• Resumen

  • In this note we study the topological structure of weighted James spaces $J(h$). In particular we prove that $J(h)$ is isomorphic to $J$ if and only if the weight $h$ is bounded. We also provide a description of $J(h$) if the weight is a non-decreasing sequence.

• Referencias bibliográficas
  • P.G. Casazza, James quasi-reflexive space is primary, Israel J. Math. 26 (1977), 294–305.
  • P.G. Casazza, C.A. Kottman and Bor-Luh Lin, On primary Banach spaces, Bull. Amer. Math. Soc. 82 (1976), 71–73.
  • J.C. Díaz and M.A. Miñarro, A counterexample to a question of Valdivia on Fréchet spaces not containing $l\_1$, Math. Nachr. 174 (1995), 65–72.
  • R.C. James, Bases and reflexivity of Banach spaces, Ann. of Math. 52 (1950), 518–527.
  • J. Lindenstrauss and C. Stegall, Examples of separable spaces which do not contain $l\_1$ and whose duals are non-separable, Studia Math....