Disjointly strictly singular inclusions of symmetric spaces

DOI10.1007/BF02675003zbMath0947.46017arXivmath/0005027OpenAlexW2124419730MaRDI QIDQ1966203

Serguei V. Astashkin

Publication date: 3 April 2000

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

Full work available at URL: https://arxiv.org/abs/math/0005027

zbMATH Keywords

gapOrlicz spacesBanach spaceMarcinkiewicz spacesfundamental functionLorentz spacesdisjointly strictly singular operatorsinclusion of symmetric spacesinclusion operators

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)

Related Items (13)

Compact and strictly singular operators in rearrangement invariant spaces and Rademacher functions ⋮ Some remarks on disjointly strictly singular positive operators ⋮ Bernstein Widths and Super Strictly Singular Inclusions ⋮ Strictly singular and strictly co-singular inclusions between symmetric sequence spaces ⋮ Duality problem for disjointly homogeneous rearrangement invariant spaces ⋮ Strictly singular inclusions into \(L^1 + L^\infty\) ⋮ Strict embeddings of rearrangement invariant spaces ⋮ \({\Lambda}(p)\)-spaces ⋮ On a theorem of Kadets and Pełczyński ⋮ Some properties of embeddings of rearrangement invariant spaces ⋮ Nonlinear subsets of function spaces and spaceability ⋮ Some remarks about disjointly homogeneous symmetric spaces ⋮ Rosenthal's space revisited

Cites Work

• On \(l^ p\)-complemented copies in Orlicz spaces. II
• Rademacher series in symmetric spaces
• Boundary spaces for inclusion map between rearrangement invariant spaces
• Sur Certains Sous-Espaces Vectoriels De L^p
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