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Characterizations on 2-isometries |
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| Authors: | Hahng-Yun Chu |
| Institution: | a School of Mathematics, Korea Institute for Advanced Study, Seoul 130-722, Republic of Korea b Department of Mathematics, Chungnam National University, Daejeon 305-764, Republic of Korea c Department of Mathematics Education, Dankook University, Gyeonggi 448-701, Republic of Korea |
| Abstract: | We consider 2-isometries, weak 2-isometries and 2-continuous mappings and investigate the relation between three mappings in linear 2-normed spaces. Also we prove that the Riesz theorem holds when X is a linear 2-normed spaces. |
| Keywords: | Linear 2-normed space 2-Isometry Weak 2-isometry 2-Continuous function |
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