A+ CATEGORY SCIENTIFIC UNIT

On complex interpolation for pairs of quasi-Banach function spaces with a non-separable component

Moritz Egert, Benjamin W. Kosmala Studia Mathematica MSC: Primary 46B70; Secondary 46E30 DOI: 10.4064/sm250124-5-12 Published online: 20 March 2026

Abstract

Kalton and Mitrea (1998) characterized complex interpolation spaces of quasi-Banach function spaces as Calderón products if both interpolants are separable. We show that one separability assumption may be omitted and establish a Wolff-reiteration result with one non-separable endpoint space.

Authors

  • Moritz EgertDepartment of Mathematics
    Technical University of Darmstadt
    64289 Darmstadt, Germany
    e-mail
  • Benjamin W. KosmalaDepartment of Mathematics
    Technical University of Darmstadt
    64289 Darmstadt, Germany
    e-mail

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