ON THE ALEKSANDROV–RASSIAS PROBLEM OF DISTANCE PRESERVING MAPPINGS

DOI10.1017/S0004972715000155zbMath1323.46007MaRDI QIDQ5253348

Wei Yun Ren, Shuming Wang

Publication date: 5 June 2015

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

zbMATH Keywords

Aleksandrov-Rassias problemisometryinner product spaceAleksandrov problemconservative distancesemi-parallelogram

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Cites Work

• Eine Ergänzung zum Satz von Beckman und Quarles
• Isometrien in normierten Räumen. (Isometries in normed spaces)
• A contribution to a theorem of Ulam and Mazur
• On the A.D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem.
• Mappings of conservative distances and the Mazur-Ulam theorem

This page was built for publication: ON THE ALEKSANDROV–RASSIAS PROBLEM OF DISTANCE PRESERVING MAPPINGS