The Aleksandrov problem and Rassias problem for isometric mappings (Q2731614)
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scientific article; zbMATH DE number 1626227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Aleksandrov problem and Rassias problem for isometric mappings |
scientific article; zbMATH DE number 1626227 |
Statements
29 July 2001
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Aleksandrov problem
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Rassias problem
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distance-preserving
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isometry
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The Aleksandrov problem and Rassias problem for isometric mappings (English)
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This paper is a survey (without proofs) of numerous results involved with the general problems of determining when a mapping between two normed linear spaces is an isometry, given that it satisfies one of the several ``distance-preserving'' properties. The particular case of mappings on Hilbert space is covered in considerable detail, and several unsolved problems in the area are posed as well.
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