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Some interpolation results that are the exclusive property of compact operators

  • Fernando Cobos (a1), Luz M. Fernández-Cabrera (a2), Antón Martínez (a3) and Evgeniy Pustylnik (a4)
Abstract

We show that certain interpolation results for compact operators established by Cobos and co-workers cannot be extended to general closed operator ideals. We shall also characterize compactness of an embedding in terms of functions related to the classical K- and J-functionals of interpolation theory.

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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