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
收藏
页码：621 / 638
页数：18
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