MAPPINGS OF CONSERVATIVE DISTANCES IN -NORMED SPACES ()

DOI10.1017/S0004972716000927zbMath1380.46006OpenAlexW2547885506MaRDI QIDQ2986605

Dong-Ni Tan, Xu-Jian Huang

Publication date: 16 May 2017

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

Full work available at URL: https://doi.org/10.1017/s0004972716000927

zbMATH Keywords

isometryAleksandrov problem\(p\)-normed space\(p\)-strictly convex

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Cites Work

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• Another proof of the Beckman-Quarles theorem
• A normed space with the Beckman-Quarles property
• Isometrien in normierten Räumen. (Isometries in normed spaces)
• A contribution to a theorem of Ulam and Mazur
• A contribution to the Aleksandrov conservative distance problem in two dimensions
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• Isometries in Normed Spaces
• On Isometries of Euclidean Spaces

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