Lattice structures on some Banach spaces

DOI10.1090/S0002-9939-2011-11151-1zbMath1245.46014OpenAlexW2092862063MaRDI QIDQ5389402

Mieczyslaw Mastylo

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11151-1

zbMATH Keywords

Banach latticespositive operatorsMarcinkiewicz spacesLorentz spaceslattice structuresCalderón-Lozanovskii spacespositive interpolation functor

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) Abstract interpolation of topological vector spaces (46M35)

Related Items

Interpolation of nonlinear positive or order preserving operators on Banach lattices, Calderón-Mityagin couples of Banach spaces related to decreasing functions

Cites Work

• Weyl numbers and eigenvalues of abstract summing operators
• Symmetric structures in Banach spaces
• Lattice structures on Banach spaces
• Intermediate spaces and interpolation, the complex method
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