Weak neighborhoods and the Daugavet property of the interpolation spaces $L^1 + L^\infty$ and $L^1 \cap L^\infty$

DOI10.1512/iumj.2008.57.3171zbMath1147.46005OpenAlexW30570879MaRDI QIDQ5460070

María D. Acosta, Anna Kaminska

Publication date: 2 May 2008

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2008.57.3171

zbMATH Keywords

Daugavet propertydiameter-\(2\) 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 (6)

Diameter two properties in some vector-valued function spaces ⋮ Weakly open sets in the unit ball of some Banach spaces and the centralizer ⋮ Weakly open sets in the unit ball of the projective tensor product of Banach spaces ⋮ Diameter of weak neighborhoods and the Radon-Nikodym property in Orlicz-Lorentz spaces ⋮ Interpolation between \(L_0(\mathcal{M},\tau)\) and \(L_\infty (\mathcal{M},\tau )\) ⋮ The Daugavet property in the Musielak-Orlicz spaces

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