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
收藏
页码：568 / 588
页数：21
相关论文
共 19 条
  • [1] Bart H., 1979, MINIMAL FACTORIZATIO
  • [2] Gohberg I., 1969, INTRO THEORY LINEAR
  • [3] EQUIVALENCE, LINEARIZATION, AND DECOMPOSITION OF HOLOMORPHIC OPERATOR FUNCTIONS
    GOHBERG, IC
    KAASHOEK, MA
    LAY, DC
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1978, 28 (01) : 102 - 144
  • [4] GOHBERG IC, 1971, OPERATOR GENERALIZAT, V13, P603
  • [5] KAASHOEK MA, 1980, ANN MAT PUR APPL, V125, P329
  • [6] Konig H., 1982, INTEGR EQUAT OPER TH, V5, P828
  • [7] KULESKO NA, 1971, MAT ISSLED, V2, P150
  • [8] LAGINESTRA AV, 1975, ANN MAT PUR APPL, V111, P229
  • [9] ON THE TRACE OF CERTAIN RATIONAL OPERATOR-FUNCTIONS
    LINDEN, H
    MENZEL, J
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1992, 15 (01) : 30 - 42
  • [10] LINDEN H, 1980, REND MAT, V13, P371
12