Sequence Lorentz spaces and their geometric structure

DOI10.1007/s12220-018-0069-4zbMath1433.46012arXiv1805.06355OpenAlexW2963199758WikidataQ129429728 ScholiaQ129429728MaRDI QIDQ2318019

Grzegorz Lewicki, Maciej Ciesielski

Publication date: 13 August 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06355

zbMATH Keywords

extreme pointorder continuitystrict convexityMarcinkiewicz spacesLorentz spacesstrict monotonicityexistence setone-complemented subspace

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Banach lattices (46B42) Banach sequence spaces (46B45)

Related Items (3)

On bicomplex \(\mathbb{BC}\)-modules \(l_p^\Bbbk(\mathbb{BC})\) and some of their geometric properties ⋮ Orlicz-Lorentz Hardy martingale spaces ⋮ Geometry of the Marcinkiewicz sequence space

Cites Work

• Monotonicity and rotundity of Lorentz spaces \(\varGamma_{p,w}\)
• Extreme and smooth points in Lorentz and Marcinkiewicz spaces with applications to contractive projections
• Points minimaux et ensembles optimaux dans les espaces de Banach
• Relationships between \(K\)-monotonicity and rotundity properties with application
• One-complemented subspaces of Musiełak-Orlicz sequence spaces
• On Lorentz spaces \(\Gamma_{p,w}\)
• On geometric structure of symmetric spaces
• On the theory of spaces \(\Lambda\)
• Contractive and optimal sets in modular spaces
• Gâteaux derivatives and their applications to approximation in Lorentz spaces Γ _p,w
• Order convexity and concavity of Lorentz spaces Λ_p,w, 0<p<∞
• On Projections With Norm 1--An Example
• Norm-one projections in Banach spaces
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