The Aleksandrov-Benz-Rassias problem on linear \(n\)-normed spaces
From MaRDI portal
Publication:293070
DOI10.1007/s00605-015-0786-8zbMath1354.46014OpenAlexW1949623513MaRDI QIDQ293070
Publication date: 9 June 2016
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-015-0786-8
Geometry and structure of normed linear spaces (46B20) General theory of distance geometry (51K05) Isometric theory of Banach spaces (46B04)
Related Items (6)
Approximation of two general functional equations in 2-Banach spaces ⋮ Stability of a general functional equation in \(m\)-Banach spaces ⋮ On Ulam stability of a functional equation ⋮ GENERALIZATIONS OF ALESANDROV PROBLEM AND MAZUR-ULAM THEOREM FOR TWO-ISOMETRIES AND TWO-EXPANSIVE MAPPINGS ⋮ On approximate homomorphisms of ternary semigroups ⋮ A fixed point theorem in \(n\)-Banach spaces and Ulam stability
Cites Work
- On the Aleksandrov-Rassias problems on linear \(n\)-normed spaces
- On the Alexandrov problem of distance preserving mapping
- A contribution to a theorem of Ulam and Mazur
- Properties of isometric mappings
- On the Aleksandrov problem in linear \(n\)-normed spaces
- Mappings of conservative distances in linear \(n\)-normed spaces
- Characterizations on isometries in linear \(n\)-normed spaces
- THE ALEKSANDROV PROBLEM AND THE MAZUR-ULAM THEOREM ON LINEAR n-NORMED SPACES
- Is a Distance One Preserving Mapping between Metric Spaces Always an Isometry?
- On the Aleksandrov Problem of Conservative Distances
- On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
- ON DISTANCE-PRESERVING MAPPINGS
- Isometry on linear n-normed spaces
- Isometries and approximate isometries
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The Aleksandrov-Benz-Rassias problem on linear \(n\)-normed spaces
