LINEARIZATION, TRACE, AND DETERMINANT OF CERTAIN MEROMORPHIC OPERATOR-FUNCTIONS

被引：0

作者：

LINDEN, H ^{[1
]}

机构：

[1] FERNUNIV GESAMTH SCH,FACHBEREICH MATH & INFORMAT,W-5800 HAGEN,GERMANY

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1992年 / 15卷 / 04期

关键词：

MSC:; Primary; 47A56; Secondary; 47B10;

D O I：

10.1007/BF01195780

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper operator functions of type(~)[GRAPHICS](~)are considered. In the first part of the paper a linearization of L is constructed under certain convergence conditions, and it is shown that the geometric multiplicities and the null multiplicities of the eigenvalues lambda is-an-element-of C of L and the linearization coincide. In the second part of the paper trace and determinant formulas for L are derived under some further conditions for the coefficients of L.

引用

页码：568 / 588

页数：21

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