Orthogonally additive polynomials on C*-algebras

被引：23

作者：

Palazuelos, C. ^{[1
]}

Peralta, A. M. ^{[2
]}

Villanueva, I. ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain

[2] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2008年 / 59卷

关键词：

D O I：

10.1093/qmath/ham042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists phi in A* satisfying P(x) = phi(x(n)), for each element x in A. The vector-valued analogue follows as a corollary.

引用

页码：363 / 374

页数：12

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