Linear Mappings which Preserve Paracontractions |
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| Authors: | B. Kuzma |
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| Affiliation: | (1) Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia, SI |
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| Abstract: |  It shown that a linear, surjective mapping which preserves paracontractions in both directions (relative to Euclidean norm) is an (anti)isometry. This is no longer the case if it preserves paracontractions in one direction only.This work was supported by grants from the Ministry of Science and Technology of Slovenia.Received February 4, 2002; in revised form September 20, 2002Published online May 9, 2003 |
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| Keywords: | 2000 Mathematics Subject Classification: 47B49 15A60 |
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