Complemented Hilbertian subspaces in rearrangement invariant function spaces

zbMath0859.46019MaRDI QIDQ1892737

Yves Raynaud

Publication date: 7 April 1997

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

zbMATH Keywords

rearrangement invariant function spacesHilbertian subspacesHilbert valued extension

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)

Related Items (12)

On a property of rearrangement invariant spaces whose second Köthe dual is nonseparable ⋮ Vector-valued sums of independent functions in rearrangement invariant spaces ⋮ 𝐿_{𝑝}+𝐿_{∞} and 𝐿_{𝑝}∩𝐿_{∞} are not isomorphic for all 1≤𝑝<∞, 𝑝≠2 ⋮ Subspaces generated by translations in rearrangement invariant spaces ⋮ Fundamental function of the Rademacher spaces ⋮ Strictly singular inclusions into \(L^1 + L^\infty\) ⋮ Rademacher functions in symmetric spaces ⋮ On symmetric spaces containing isomorphic copies of Orlicz sequence spaces ⋮ Isomorphic copies in the lattice \(E\) and its symmetrization \(E^{(*)}\) with applications to Orlicz-Lorentz spaces ⋮ Lattice-embedding scales of \(L^p\) spaces into Orlicz spaces ⋮ Spaces defined by the Paley function ⋮ Rosenthal's space revisited

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