A decomposition of orthogonally additive polynomials on archimedean vector lattices

被引：4

作者：

Toumi, Mohamed Ali ^{[1
]}

机构：

[1] Fac Sci Bizerte, Dept Math, Zarzouna 7021, Bizerte, Tunisia

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2013年 / 20卷 / 04期

关键词：

Orthosymmetric multimorphisms; Orthogonally additive polynomials; FUNCTIONAL-CALCULUS; BANACH-LATTICES; RIESZ SPACES; F-ALGEBRAS; PRODUCTS;

D O I：

10.36045/bbms/1382448184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We constructively prove a decomposition theorem for order bounded homogeneous orthogonally-additive polynomials on archimedean vector lattices. In this way, we constructively generalize results of Sundaresan (1991), D. Perez-Garcia, and I. Villanueva, (2005), Y. Benyamini, S. Lassalle and J. L. G. Llavona (2006), D. Carando, S. Lassalle and I. Zalduendo (2006 and 2012).

引用

页码：621 / 638

页数：18