Isomorphic classification of \(L_{p,q}\)-spaces. II

DOI10.1016/j.jfa.2021.108994zbMath1473.46038arXiv2008.11399OpenAlexW3080603423MaRDI QIDQ2020079

Jinghao Huang, Pheodor A. Sukochev

Publication date: 23 April 2021

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

Full work available at URL: https://arxiv.org/abs/2008.11399

zbMATH Keywords

Lorentz spaces\( \sigma \)-finite measure spaces\( L_{p, q}\)-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)

Related Items

(Non-)Dunford-Pettis operators on noncommutative symmetric spaces

Cites Work

• Singular traces. Theory and applications
• Isomorphic classification of \(L_{p, q}\)-spaces
• Equidistributed random variables in \(L_{p,q}\)
• Lack of isomorphic embeddings of symmetric function spaces into operator ideals
• A scale of linear spaces related to the \(L_ p\) scale
• Subspace structure of Lorentz \(L_{p,q}\) spaces and strictly singular operators
• The classification problem for nonatomic weak \(L^p\) spaces
• Embedding \(l_ p^ m\) into \(l_ 1^ n\)
• Non-commutative Banach function spaces
• Basic sequences, embeddings, and the uniqueness of the symmetric structure in unitary matrix spaces
• Rademacher series in symmetric spaces
• The dimension of almost spherical sections of convex bodies
• Very tight embeddings of subspaces of \(L_p\), \(1 \leq p < 2\), into \(\ell^n_p\)
• Series of independent random variables in rearrangement invariant spaces: an operator approach
• On Lorentz spaces \(\Gamma_{p,w}\)
• On Arazy's problem concerning isomorphic embeddings of ideals of compact operators
• On \(p\)-convexity and \(q\)-concavity in non-commutative symmetric spaces
• The Banach--Saks \(p\)-property
• Banach spaces with a unique unconditional basis
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• On Orlicz sequence spaces. III
• On symmetric basic sequences in Lorentz sequence spaces
• Some new functional spaces
• On the theory of spaces \(\Lambda\)
• Subspaces of L p, q
• Embedding l n a p in l n p,q
• Purely non-atomic weak $L^p$ spaces
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• Banach–Saks properties in symmetric spaces of measurable operators
• Symmetric structures in Banach spaces
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• Isomorphism of certain weak $L^{p}$ spaces
• Isomorphic classification of 𝐿_{𝑝,𝑞}-spaces: the case 𝑝=2,1≤𝑞<2
• The Banach-Saks index
• The Banach–Saks property in rearrangement invariant spaces
• Non-isomorphism of 𝐿_{𝑝}-spaces associated with finite and infinite von Neumann algebras
• Sums of independent and freely independent identically distributed random variables
• Projections on Banach spaces with symmetric bases
• Vilenkin systems and generalized triangular truncation operator
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item