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The Representation of Isometric Operators on C(1)(X)
Authors:Jingke Li
Affiliation:1.School of Mathematical Sciences,Nankai University,Tianjin,China
Abstract: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.
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