The Daugavet property in rearrangement invariant spaces

DOI10.1090/S0002-9947-2014-06166-7zbMath1326.46007OpenAlexW1989199854MaRDI QIDQ5246991

María D. Acosta, Mieczyslaw Mastylo, Anna Kaminska

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2014-06166-7

zbMATH Keywords

Orlicz spacesrearrangement invariant spacesuniform monotonicityDaugavet propertyweak Fatou property

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) Isometric theory of Banach spaces (46B04)

Related Items (5)

Representable spaces have the polynomial Daugavet property ⋮ Daugavet and diameter two properties in Orlicz-Lorentz spaces ⋮ Diameter two properties and the Radon-Nikodým property in Orlicz spaces ⋮ On Ball Dentable Property in Banach Spaces ⋮ The Daugavet property in the Musielak-Orlicz spaces

Cites Work

• Monotonicity and complex convexity in Banach lattices
• Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
• The Daugavet property for spaces of Lipschitz functions
• Some Remarks on the Daugavet Equation
• The Dunford-Pettis Property for Symmetric Spaces
• Banach spaces with the Daugavet property
• Lushness, Numerical Index 1 and the Daugavet Property in Rearrangement Invariant Spaces
• Monotonicity and rotundity properties in Banach lattices
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