Sums of disjointness preserving multilinear operators

被引：0
作者：
Zalina Kusraeva
机构：
[1] Regional Mathematical Center of Southern Federal University,
[2] Southern Mathematical Institute of the Vladikavkaz Scientific Centre of the Russian Academy of Sciences,undefined
来源：
Positivity | 2021年 / 25卷
关键词：
Vector lattice; Multilinear operator; Disjointness preserving; Factorization; 46A16; 46B42; 46G25; 47L22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper aims to examine the problem of characterization and representation of order bounded multilinear operators between vector lattices which may be expressed as sums of disjointness preserving multilinear operators.
引用
收藏
页码：669 / 678
页数：9
相关论文
共 33 条
[1]  
Abramovich YA(2002)Inverses and regularity of disjointness preserving operators Indag. Math. N. S. 13 143-167
[2]  
Kitover AK(1992)Sums and extensions of vector lattice homomorphisms Acta Appl. Math. 27 33-45
[3]  
Bernau SJ(1992)Sums of lattice homomorphisms Proc. Am. Math. Soc. 115 151-156
[4]  
Bernau SJ(2000)Products in almost Comment. Math. Univ. Carolin 41 747-759
[5]  
Huijsmans CB(2002)-algebras Indag. Mathem. N.S. 13 419-432
[6]  
de Pagter B(2008)Some aspects of Riesz multimorphisms Irish Math. Soc. Bull. 62 43-69
[7]  
Boulabiar K(2006)Recent trends on order bounded disjointness preserving operators Commun. Algebra 34 1435-1442
[8]  
Boulabiar K(2009)Vector lattice powers: Adv. Appl. 201 99-107
[9]  
Boulabiar K(1991)-algebras and functional calculus Indag. Math. N.S. 4 423-436
[10]  
Boulabiar K(2000)A note on bi-orthomorphisms, operator theory Positivity 4 227-231
1234