Isometrien in normierten Räumen. (Isometries in normed spaces)

DOI10.1007/BF02189828zbMath0588.46015MaRDI QIDQ1073297

Walter Benz

Publication date: 1985

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137094

zbMATH Keywords

isometrynormed linear spacesaffine transformation

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Distance geometry (51K99)

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A functional equations problem in architecture ⋮ An inequality for distances between \(2n\) points and the Aleksandrov--Rassias problem ⋮ Mappings of preserving \(n\)-distance one in \(n\)-normed spaces ⋮ A contribution to a theorem of Ulam and Mazur ⋮ Proportion functions in three dimensions ⋮ An inequality for distances among five points and distance preserving mappings ⋮ MAPPINGS OF CONSERVATIVE DISTANCES IN -NORMED SPACES () ⋮ Characterizations on 2-isometries ⋮ Mappings which preserve regular dodecahedrons ⋮ Visibility in crowds of translates of a centrally symmetric convex body ⋮ Inequalities for distances between points and distance preserving mappings ⋮ The geometry of Minkowski spaces -- a survey. I ⋮ A characterization of isometries on an open convex set. II ⋮ On proportion functions of convex domains ⋮ An inequality for distances among n points and distance preserving mappings ⋮ On proportion polynomials ⋮ ON THE ALEKSANDROV–RASSIAS PROBLEM OF DISTANCE PRESERVING MAPPINGS

Cites Work

• Unnamed Item
• Eine Ergänzung zum Satz von Beckman und Quarles
• Isometries in Normed Spaces
• On Isometries of Euclidean Spaces

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