On the positive absolutely summing operators on the space Lp (u, X)

• Autores: Dumitru Popa
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 3, 1997, págs. 315-320
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper we obtain a characterization of the positive absolutely summing operators on the space $L_p(\mu, X)$ with $1\leq p < \infty$ and $X$ a Banach lattice, which is analogous with that given by Ch. Swartz in [8] for absolutely summing operators on the space of continuous vector valued functions.

• Referencias bibliográficas
  • O. Blasco, A class of operators from a Banach lattice into a Banach space, Collect. Math. 37, 1 (1986), 11–22.
  • O. Blasco, Boundary values of vector valued harmonic functions considered as operators, Studia Math. 46 (1987), 19–33.
  • O. Blasco, Positive $p$-summing operators on $L\_p$-spaces, Proc. Amer. Math. Soc. 100, 2 (1987), 275–280.
  • O. Blasco, Positive $p$-summing operators, vector measures and products, Proc. Edinburgh Math. Soc. 31 (1988), 179–184.
  • J. Diestel and J. J. Uhl, Vector measures, A.M.S. 15, 1977.
  • N. Dinculeanu, Vector measures, Pergamon Press, New York, 1967.
  • H. Schaeffer, Banach lattice and positive operators, Springer Verlag, Berlin, 1974.
  • Ch. Schwartz, Absolutely summing operators and dominated operators on spaces of vector valued continuous functions, Trans. Amer. Math. Soc....