Calderón-Lozanovskii interpolation on quasi-Banach lattices Articles uri icon

authors

  • RAYNAUD, YVES
  • TRADACETE PEREZ, PEDRO

publication date

  • March 2018

start page

  • 294

end page

  • 313

issue

  • 2

volume

  • 12

International Standard Serial Number (ISSN)

  • 2662-2033

Electronic International Standard Serial Number (EISSN)

  • 1735-8787

abstract

  • We consider the Calderón&-Lozanovskii construction phi(X0,X1) in the context of quasi-Banach lattices, and we provide an extension of a result by Ovchinnikov concerning the associated interpolation methods phic and phi0. Our approach is based on the interpolation properties of (∞,1)-regular operators between quasi-Banach lattices.

keywords

  • quasi-banach lattice; interpolation; calderón–lozanovskii spaces