How to recognize nonexpansive mappings and isometric mappings

DOI10.1007/S10114-011-9470-7zbMath1278.46008OpenAlexW2059035486MaRDI QIDQ353546

Guang Gui Ding, Yu Mei Ma

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9470-7

zbMATH Keywords

nonexpansive mappingsmooth pointsisometric mapping

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isometric theory of Banach spaces (46B04)

Cites Work

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• Geometry of Banach spaces. Selected topics
• Isometries of the unit sphere
• A geometric characterization of the nonlinear Schrödinger equation
• New Method for Expansion and Contraction Maps in Uniform Spaces
• NONEXPANSIVE MAPPINGS AND EXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME F-SPACES
• NONEXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME BANACH SPACES
• Dehnungen, Verkürzungen, Isometrien
• On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of \(AL^p\)-spaces \((p > 2)\)

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