An eigenvector existence theorem in idempotent analysis

被引：5

作者：

Shpiz, G. B. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Sci Res Inst Nucl Phys, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2007年 / 82卷 / 3-4期

关键词：

abstract idempotent space; idempotent semimodule; idempotent semiring; idempotent semigroup; ordered set; homomorphism; linear functional;

D O I：

10.1134/S0001434607090131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove an eigenvector existence theorem for linear operators on abstract idempotent spaces in the framework of the algebraic apporoach. Earlier, an algebraic version of a similar statement was known only for operators in free finite-dimensional semimodules. The corresponding result for compact operations in semimodules of real continuous functions is known in the case of topological semimodules.

引用

页码：410 / 417

页数：8

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