\({\Lambda}(p)\)-spaces

DOI10.1016/j.jfa.2014.02.011zbMath1319.46025OpenAlexW2115866194MaRDI QIDQ2253281

Serguei V. Astashkin

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.02.011

zbMATH Keywords

rearrangement invariant spaceOrlicz spacedisjointly strictly singular operator\(L_p\)-space\({\Lambda}(p)\)-set

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) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46)

Related Items (11)

On quasicomplemented Hilbertian subspaces of Banach spaces ⋮ Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices ⋮ Binary Orlicz spaces ⋮ On a property of rearrangement invariant spaces whose second Köthe dual is nonseparable ⋮ On quasibases and bases of symmetric spaces consisting of nonnegative functions ⋮ On subspaces of an Orlicz space spanned by independent identically distributed functions ⋮ The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\) ⋮ Disjointly non-singular operators on Banach lattices ⋮ On a theorem of Kadets and Pełczyński ⋮ On symmetric spaces with convergence in measure on reflexive subspaces ⋮ A variant of the \(\Lambda (p)\)-set problem in Orlicz spaces

Cites Work

• On \(l^ p\)-complemented copies in Orlicz spaces. II
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Bounded orthogonal systems and the \(\Lambda\) (p)-set problem
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• On the best constants in the Khinchin inequality
• Disjointly Strictly-Singular Inclusions between Rearrangement Invariant Spaces
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