Higher order Gateaux smooth bump functions on Banach spaces

DOI10.1017/S000497270001412XzbMath0838.46007MaRDI QIDQ4837629

Jon Vanderwerff, David P. McLaughlin

Publication date: 3 July 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

smooth approximationGâteaux differentiable bump functionuniformly directionally Hölder derivative

Mathematics Subject Classification ID

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

Related Items (4)

On uniformly Gâteaux smooth C (n)-smooth norms on separable Banach spaces ⋮ Uniformly differentiable bump functions ⋮ Gâteaux differentiability of bump functions in Banach spaces ⋮ Uniformly Gâteaux smooth approximations on \(c_0(\varGamma)\)

Cites Work

• Unnamed Item
• Norms with locally Lipschitzian derivatives
• Gateaux differentiable norms in \(L_ p\)
• Convex functions, monotone operators and differentiability
• SEPARATING POLYNOMIALS ON BANACH SPACES
• Second-Order Gâteaux Differentiable Bump Functions and Approximations in Banach Spaces
• Second Order Differentiability of Convex Functions in Banach Spaces
• A Counterexample to Several Questions about Scattered Compact Spaces

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