Banach-Saks property in Marcinkiewicz spaces

DOI10.1016/j.jmaa.2007.03.040zbMath1126.46005OpenAlexW2148123762MaRDI QIDQ2381935

Serguei V. Astashkin, Pheodor A. Sukochev

Publication date: 26 September 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.03.040

zbMATH Keywords

Banach-Saks propertyrearrangement invariant spacesBoyd indicesMarcinkiewicz spacesspaces with mixed normRademacher type of Banach spaces

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) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (14)

Unnamed Item ⋮ On Arazy's problem concerning isomorphic embeddings of ideals of compact operators ⋮ Isomorphic classification of 𝐿_{𝑝,𝑞}-spaces: the case 𝑝=2,1≤𝑞<2 ⋮ Uo-convergence and its applications to Cesàro means in Banach lattices ⋮ The Banach-Saks index of some sequence spaces ⋮ A short proof of some recent results related to Cesàro function spaces ⋮ Narrow operators on tensor products of Köthe spaces ⋮ Isomorphic classification of \(L_{p, q}\)-spaces ⋮ Banach-Saks properties of Musielak-Orlicz and Nakano sequence spaces ⋮ Cesaro mean convergence of martingale differences in rearrangement invariant spaces ⋮ Structure of Cesàro function spaces ⋮ Dixmier traces and extrapolation description of noncommutative Lorentz spaces ⋮ Fixed point properties for Lorentz sequence spaces \(\ell_{\rho,\infty}^0\) and \(\ell_{\rho,1}\) ⋮ 2-co-lacunary sequences in noncommutative symmetric Banach spaces

Cites Work

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• The \(p\)-Banach Saks property in symmetric operator spaces
• Sums of independent random variables in rearrangement invariant function spaces
• Basic sequences, embeddings, and the uniqueness of the symmetric structure in unitary matrix spaces
• The Kadec-Klee property in symmetric spaces of measurable operators
• Symmetric functionals and singular traces
• Series of independent random variables in rearrangement invariant spaces: an operator approach
• Singular symmetric functionals
• The Banach--Saks \(p\)-property
• Weak compactness criteria in symmetric spaces of measurable operators
• Banach–Saks properties in symmetric spaces of measurable operators
• Dixmier traces and some applications in non-commutative geometry
• Unconditional bases and martingales in L_P(F)
• Isomorphism of certain weak $L^{p}$ spaces
• The Banach-Saks index
• Singular symmetric functionals and Banach limits with additional invariance properties
• Banach embedding properties of non-commutative 𝐿^{𝑝}-spaces
• The Banach–Saks property in rearrangement invariant spaces
• Sur les suites faiblement convergentes dans l'espace L
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Indices of Function Spaces and their Relationship to Interpolation

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