On a Characterisation of Differentiability of the Norm of a Normed Linear Space

DOI10.1017/S1446788700008387zbMath0207.43901MaRDI QIDQ5608338

John R. Giles

Publication date: 1971

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

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality and reflexivity in normed linear and Banach spaces (46B10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (5)

Level functions and extreme points of the space \(M^ q_{\omega}\) \((1<p<\infty)\) ⋮ Isometries of Minkowski geometries ⋮ The metric projection on C2 manifolds in Banach spaces ⋮ On Vector Measures ⋮ Norm derivatives on spaces of operators

Cites Work

• The numerical range of a continuous mapping of a normed space
• A Representation Theorem for Bounded Convex Sets
• A proof that every Banach space is subreflexive
• The Geometry of Banach Spaces. Smoothness

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