On a cosine function defined for smooth normed spaces

zbMath1398.46012arXiv1607.01515MaRDI QIDQ4609973

Emad N. Shonoda, Vitor Balestro

Publication date: 27 March 2018

Full work available at URL: https://arxiv.org/abs/1607.01515

zbMATH Keywords

semi-inner productsmooth normMinkowski geometryRadon curvesGâteaux derivativeMinkowski cosine function

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (6)

On mappings which approximately preserve angles ⋮ Minkowski Geometry—Some Concepts and Recent Developments ⋮ Angles in normed spaces ⋮ A new geometric view on Sturm-Liouville eigenvalue problems ⋮ The inverse problem on roulettes in normed planes ⋮ On Legendre curves in normed planes

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