Lattice structures on Banach spaces

DOI10.1090/memo/0493zbMath0780.46021OpenAlexW2074421608MaRDI QIDQ4696720

Nigel J. Kalton

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1090/memo/0493

zbMATH Keywords

rearrangement invariant Banach function spacesBanach lattices which are isomorphic as Banach spacesexamples of Banach lattices with a unique order structure

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) Isometric theory of Banach spaces (46B04) Lattices of continuous, differentiable or analytic functions (46E05)

Related Items (16)

Lattice-embedding \(L^ p\) into Orlicz spaces ⋮ Linear versus lattice embeddings between Banach lattices ⋮ Almost everywhere convergent Fourier series ⋮ 𝐿_{𝑝}+𝐿_{∞} and 𝐿_{𝑝}∩𝐿_{∞} are not isomorphic for all 1≤𝑝<∞, 𝑝≠2 ⋮ Isomorphic Structure of Cesàro and Tandori Spaces ⋮ Lattice structures on some Banach spaces ⋮ Strictly singular inclusions into \(L^1 + L^\infty\) ⋮ On Nonatomic Banach Lattices and Hardy Spaces ⋮ On the number of permutatively inequivalent basic sequences in a Banach space ⋮ Complex convexity and monotonicity in quasi-Banach lattices ⋮ Banach lattice sums with hereditary Fatou properties ⋮ Uniqueness of unconditional bases in Banach spaces ⋮ Lattice-embedding scales of \(L^p\) spaces into Orlicz spaces ⋮ Contractive projections and isometries in sequence spaces ⋮ Some remarks about disjointly homogeneous symmetric spaces ⋮ Lattice-universal Orlicz spaces on probability spaces.

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