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

页码：428 / +

页数：20

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