Orthogonally additive polynomials over C(K) are measures -: A short proof

被引：30

作者：

Carando, Daniel

Lassalle, Silvia

Zalduendo, Ignacio

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Ciudad Univ, RA-1428 Buenos Aires, DF, Argentina

[2] Univ Torcuato Tella, Dept Matemat, Buenos Aires, DF, Argentina

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2006年 / 56卷 / 04期

关键词：

polynomials on C(K);

D O I：

10.1007/s00020-006-1439-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a simple proof of the fact that orthogonally additive polynomials on C(K) are represented by regular Borel measures over K. We also prove that the Aron-Berner extension preserves this class of polynomials.

引用

页码：597 / 602

页数：6

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