Linear Isometries of Finite Codimensions on Banach Algebras of Holomorphic Functions
نویسندگان
چکیده
Let K be a compact subset of the complex n-space and A(K) the algebra of all continuous functions on K which are holomorphic on the interior of K. In this paper we show that under some hypotheses on K, there exists no linear isometry of finite codimension on A(K). Several compact subsets including the closure of strictly pseudoconvex domain and the product of the closure of plane domains which are bounded by a finite number of disjoint smooth curves satisfy the hypotheses.
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