Is a Distance One Preserving Mapping between Metric Spaces Always an Isometry?¶

Rassias, T. M. (1983). Is a Distance One Preserving Mapping between Metric Spaces Always an Isometry?. The American Mathematical Monthly.

Type: Journal article
Intellectual base: Primary research
Year: 1983
DOI: 10.1080/00029890.1983.11971189
Link: https://doi.org/10.1080/00029890.1983.11971189

Cited by¶

1 citation across 1 artifact.

Domain-specific¶

Aleksandrov–Rassias Problem
- Rassias posed the general normed-space question and highlighted the role of regularity assumptions; his Monthly problem article records why distance-one preservation alone is a nontrivial preserver condition rather than a disguised isometry definition.

Verification¶

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Registry ID ref:e4e1ec6baaea · see in the full table