The Representation of Isometric Operators on C (1)(X)
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In this paper,we introduce a new norm on C (1)(X), which is induced by a hexagon on R 2, and prove that every isometric operator on C (1)(X) can be induced by a homeomorphism of X, where X is a connected subset of R.
KeywordsHexagon Isometry Extreme point
Mathematics Subject Classification (2010)46B04
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