SMOOTH LIPSCHITZ RETRACTIONS OF STARLIKE BODIES ONTO THEIR BOUNDARIES IN INFINITE-DIMENSIONAL BANACH SPACES

DOI10.1017/S0024609301008062zbMath1032.46097OpenAlexW1924257593MaRDI QIDQ3152296

Manuel Cepedello Boiso, Daniel Azagra

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1017/s0024609301008062

zbMATH Keywords

starlike bodyinfinite-dimensional Banach spacesmooth Lipschitz retraction

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Continuous and differentiable maps in nonlinear functional analysis (46T20) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (4)

Global inversion theorems via coercive functionals on metric spaces ⋮ On the topological classification of starlike bodies in Banach spaces ⋮ Starshaped sets ⋮ The failure of Rolle's theorem in infinite-dimensional Banach spaces

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