MONOMIAL DECOMPOSITION OF HOMOGENEOUS POLYNOMIALS IN VECTOR LATTICES

被引：2
|
作者：
Kusraev, Anatoly G. [1 ,2 ]
Kusraeva, Zalina A. [2 ,3 ]
机构：
[1] North Osetian State Univ, Vladikavkaz 362019, Russia
[2] Russian Acad Sci, Vladikavkaz Sci Ctr, Southern Math Inst, Vladikavkaz 362027, Russia
[3] Southern Fed Univ, Reg Math Ctr, Rostov Na Donu 344006, Russia
来源：
ADVANCES IN OPERATOR THEORY | 2019年 / 4卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
vector lattice; multilinear operator; homogeneous polynomial; factorization; TENSOR-PRODUCTS; F-ALGEBRAS;
D O I：
10.15352/aot.1807-1394
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is devoted to the characterization and weighted shift representation of regular homogeneous polynomials between vector lattices admitting a decomposition into a sum of monomials in lattice homomorphisms. The main tool is the factorization theorem for order bounded disjointness preserving multilinear operators obtained earlier by the authors.
引用
收藏
页码：428 / +
页数：20
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