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.
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页码：568 / 588
页数：21
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