Lower and upper local uniform \(K\)-monotonicity in symmetric spaces

DOI10.1215/17358787-2017-0047zbMath1397.46024arXiv1707.02632OpenAlexW3101326053MaRDI QIDQ1751640

Maciej Ciesielski

Publication date: 25 May 2018

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

Full work available at URL: https://arxiv.org/abs/1707.02632

zbMATH Keywords

Lorentz spacesymmetric space\(K\)-order continuityKadec-Klee property for global convergence in measurelower (upper) local uniform \(K\)-monotonicity

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) Geometry and structure of normed linear spaces (46B20) Banach lattices (46B42)

Cites Work

• Hardy-Littlewood-Pólya relation in the best dominated approximation in symmetric spaces
• Geometric properties of symmetric spaces with applications to Orlicz-Lorentz spaces
• Uniform \(K\)-monotonicity and \(K\)-order continuity in symmetric spaces with application to approximation theory
• On Lorentz spaces \(\Gamma_{p,w}\)
• Local monotonicity structure of symmetric spaces with applications
• Local approach to Kadec-Klee properties in symmetric function spaces
• On geometric structure of symmetric spaces
• On the theory of spaces \(\Lambda\)
• Complex rotundities and midpoint local uniform rotundity in symmetric spaces of measurable operators
• On Geometric Properties of Orlicz-Lorentz Spaces
• Order convexity and concavity of Lorentz spaces Λ_p,w, 0<p<∞
• Intermediate spaces and interpolation, the complex method
• Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions
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