Gâteaux differentiability of bump functions in Banach spaces

DOI10.1006/jmaa.1999.6571zbMath0982.46003OpenAlexW2039981520MaRDI QIDQ1969986

R. P. Maleev, Boyan Zlatanov, Gueorgui Nedev

Publication date: 8 April 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6571

zbMATH Keywords

Orlicz spacesLorentz spacesupper estimatesorder of Gâteaux smoothness of bump functions

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Banach sequence spaces (46B45) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• Gateaux differentiable norms in \(L_ p\)
• Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces
• Some isomorphically polyhedral Orlicz sequence spaces
• Higher order uniformly Gâteaux differentiable norms on Orlicz spaces
• Smooth Norms in Orlicz Spaces
• On the representation of uncountable symmetric basic sets and its applications
• Analytic norms in Orlicz spaces
• Higher order Gateaux smooth bump functions on Banach spaces
• On Gateaux differentiable bump functions
• On approximation in real Banach spaces
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