Gateaux differentiable norms in \(L_ p\)

DOI10.1007/BF01446889zbMath0675.46010OpenAlexW2052834665MaRDI QIDQ1122103

Stanimir Troyanski

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164681

zbMATH Keywords

equivalent p times Gateaux differentiable norm

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) Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25)

Related Items (4)

Higher order uniformly Gâteaux differentiable norms on Orlicz spaces ⋮ Higher order Gateaux smooth bump functions on Banach spaces ⋮ Remarks on symmetric smooth norms ⋮ Gâteaux differentiability of bump functions in Banach spaces

Cites Work

• Unnamed Item
• Norms with locally Lipschitzian derivatives
• Geometry of Banach spaces. Selected topics
• On Orlicz sequence spaces. III
• Strict Convexity and Smoothness of Normed Spaces
• Smooth Norms in Orlicz Spaces
• Geometry and nonlinear analysis in Banach spaces

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