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Invertibility of operators in spaces of real interpolation

  • Autores: Irina Asekritova, Natan Kruglyak
  • Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 21, Nº 1, 2008, págs. 207-217
  • Idioma: inglés
  • DOI: 10.5209/rev_rema.2008.v21.n1.16458
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  • Resumen
    • Let be a linear bounded operator from a couple to a couple such that the restrictions of on the spaces and have bounded inverses. This condition does not imply that the restriction of on the real interpolation space has a bounded inverse for all values of the parameters and . In this paper under some conditions on the kernel of we describe all spaces such that the operator has a bounded inverse.


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