On the Aleksandrov Problem of Conservative Distances
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Publication:4027744
DOI10.2307/2159497zbMath0769.51005OpenAlexW4232915507MaRDI QIDQ4027744
Themistocles M. Rassias, Bogdan Mielnik
Publication date: 1 March 1993
Full work available at URL: https://doi.org/10.2307/2159497
Groups and algebras in quantum theory (81R99) General theory of distance geometry (51K05) Elementary problems in Euclidean geometries (51M04)
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The Aleksandrov-Benz-Rassias problem on linear \(n\)-normed spaces ⋮ On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\) ⋮ Some Remarks on the Group of Isometries of a Metric Space ⋮ Characterizations on Mazur-Ulam theorem ⋮ Characterizations on isometries in linear \(n\)-normed spaces ⋮ On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings ⋮ The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras ⋮ Isometries, Mazur-Ulam theorem and Aleksandrov problem for non-Archimedean normed spaces ⋮ An interview with Themistocles M. Rassias ⋮ Characterizations on 2-isometries ⋮ Mappings which preserve regular dodecahedrons ⋮ Inequalities in additive \(N\)-isometries on linear \(N\)-normed Banach spaces ⋮ Mappings of conservative distances and the Mazur-Ulam theorem ⋮ On the Aleksandrov problem in linear \(n\)-normed spaces ⋮ A characterization of isometries on an open convex set. II ⋮ The distance preserving mappings and isometrics defined on non-Archimedean Banach spaces ⋮ Isometries of Spheres ⋮ Mappings preserving unit distance on Heisenberg group ⋮ Mappings of conservative distances in linear \(n\)-normed spaces ⋮ On the Alexandrov problem of distance preserving mapping ⋮ Properties of isometric mappings
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