Subspaces of Rearrangement-Invariant Spaces

DOI10.4153/CJM-1996-041-4zbMath0865.46009arXivmath/9503211OpenAlexW2007231837MaRDI QIDQ4714409

Francisco L. Hernández, Nigel J. Kalton

Publication date: 13 July 1997

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9503211

zbMATH Keywords

Banach latticeembeddingcomplemented subspace\(p\)-convexr.i. spacecomplemented sublatticeorder-continuous Banach lattice

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42)

Related Items (7)

Obituary: Nigel John Kalton, 1946-2010 ⋮ Uniqueness of unconditional basis in quasi-Banach spaces which are not sufficiently Euclidean ⋮ Stability of the inverses of interpolated operators with application to the Stokes system ⋮ Subspaces generated by translations in rearrangement invariant spaces ⋮ Uniqueness of unconditional bases in Banach spaces ⋮ Lattice-embedding scales of \(L^p\) spaces into Orlicz spaces ⋮ Lattice-universal Orlicz spaces on probability spaces.

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