On symmetric spaces with convergence in measure on reflexive subspaces

DOI10.3103/S1066369X18080017zbMath1407.46022OpenAlexW2882976136MaRDI QIDQ1792504

S. I. Strakhov, Serguei V. Astashkin

Publication date: 12 October 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18080017

zbMATH Keywords

symmetric spaceMarcinkiewicz spacereflexive subspaceequicontinuity of norms

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) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (6)

ON A CHARACTERISTIC OF STRONGLY EMBEDDED SUBSPACES IN SYMMETRIC SPACES ⋮ Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices ⋮ HOW THE DISTANCE BETWEEN SUBSPACES IN THE METRIC OF A SPHERICAL OPENING AFFECTS THE GEOMETRIC STRUCTURE OF A SYMMETRIC SPACE ⋮ On disjointly homogeneous Orlicz-Lorentz spaces ⋮ Characterization of the Orlicz spaces whose convergence is equivalent to convergence in measure on reflexive subspaces ⋮ Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness

Cites Work

• Cesaro mean convergence of martingale differences in rearrangement invariant spaces
• Bounded orthogonal systems and the \(\Lambda\) (p)-set problem
• On \(\Lambda(p)\) sets
• \({\Lambda}(p)\)-spaces
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• Reflexive subspaces of some Orlicz spaces
• DE LA VALLÉE POUSSIN'S THEOREM AND WEAKLY COMPACT SETS IN ORLICZ SPACES
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