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On the space of f-nuclear operators on l2

  • Autores: Marilda A. Simoes
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 2, 1990, págs. 123-128
  • Idioma: inglés
  • Títulos paralelos:
    • Sobre el espacio de los operadores f-nucleares sobre l2
  • Enlaces
  • Resumen
    • We consider the generalization Sphi of the Schatten classes Sp obtained in correspondence with opportune continuous, strictly increasing, sub-additive functions phi such that phi(0) = 0 and phi(1) = 1. The purpose of this note is to study the spaces Sphi of the phi-nuclear operators and to compare their properties to those of the by now well-known space S1 of nuclear operators.

  • Referencias bibliográficas
    • J. Arazy, The isometries of $C\_p$, Israel J. Math. 22 (1975), 247–256.
    • J. R. Holub, On the metric geometry of ideals of operators on Hilbert space, Math. Ann. 201 (1973), 157–163.
    • V. B. Moscatelli, On the existence of universal $\lambda$-nuclear Fréchet spaces, J. Reine Angew. Math. 301 (1978), 1–26.
    • V. B. Moscatelli and M. A. Simões, Operator ideals on Hilbert space having a unique extension to Banach spaces, Math. Nachr. 118 (1984), 69–87.
    • A. Pietsch, Operator Ideals, North-Holland, Amsterdam, 1980.
    • R. Schatten, A Theory of Cross Spaces, Annals of Mathematical Studies, Vol. 26, Princeton University Press, Princeton, 1950.

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