Interpolation of positive polylinear operators in Calderón-Lozanovskij spaces

DOI10.1007/BF02675932zbMath0944.46013OpenAlexW2126079804MaRDI QIDQ1972617

Serguei V. Astashkin

Publication date: 13 April 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02675932

zbMATH Keywords

Banach latticesrearrangement invariant spaceinterpolation theoremtensor product operatorlinear interpolation of operatorspositive homogeneous of degree onepositive polylinear operators in Calderón-Lozanovskij spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach lattices (46B42) Interpolation between normed linear spaces (46B70)

Related Items

Multiplicator space and complemented subspaces of rearrangement invariant space. ⋮ Jensen type inequalities for positive bilinear operators

Cites Work

• Unnamed Item
• Rearrangement invariant subspaces of Lorentz function spaces
• Minimal and maximal methods of interpolation
• Operational Bezoutiant in the theory of separation of roots of entire functions
• Interpolation of bilinear operators in Marcinkiewicz spaces
• Intermediate spaces and interpolation, the complex method