Monotonicity and complex convexity in Banach lattices

DOI10.1016/j.jmaa.2005.01.017zbMath1083.46011OpenAlexW2010763372WikidataQ57618304 ScholiaQ57618304MaRDI QIDQ555826

Han Ju Lee

Publication date: 10 June 2005

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.2005.01.017

zbMATH Keywords

Banach latticecotypecomplex uniform convexityspaces of vector-valued functions

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42)

Related Items (16)

Bishop-Phelps-Bollobás property for bilinear forms on spaces of continuous functions ⋮ Complex strict convexity of absolute norms on \(\mathbb {C}^n\) and direct sums of Banach spaces ⋮ Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices ⋮ Bishop's theorem and differentiability of a subspace of \(C_b(K)\) ⋮ Complex extreme points and complex convexity in Orlicz-Bochner function spaces ⋮ Complex uniform rotundity in symmetric spaces of measurable operators ⋮ Complex convexity of Musielak-Orlicz function spaces equipped with the \(p\)-Amemiya norm ⋮ Complex convexity of Orlicz modular sequence spaces ⋮ Monotonicity Properties of Banach Lattices and Their Applications – a Survey ⋮ Monotonicity characteristic of Köthe-Bochner spaces ⋮ Simultaneously continuous retraction and Bishop-Phelps-Bollobás type theorem ⋮ Moduli and characteristics of monotonicity in some Banach lattices ⋮ Complex convexity and monotonicity in quasi-Banach lattices ⋮ Complex convexity and fixed point theorems in Orlicz modular spaces ⋮ Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular ⋮ The Daugavet property in rearrangement invariant spaces

Cites Work

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• The complex convexity of quasi-normed linear spaces
• Complex convexity and the geometry of Banach spaces
• Complex convexity in Lebesgue-Bochner Function Spaces
• Complex Convexity of Orlicz–Lorentz Spaces and its Applications
• Relationships between monotonicity and complex rotundity properties with some consequences
• Monotonicity and rotundity properties in Banach lattices

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