CHARACTERISTIC MATRICES AND SPECTRAL PROPERTIES OF EVOLUTIONARY SYSTEMS

被引:30
|
作者
KAASHOEK, MA [1 ]
LUNEL, SMV [1 ]
机构
[1] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332
关键词
D O I
10.2307/2154470
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we introduce the notion of a characteristic matrix for a large class of unbounded operators and study the precise connection between characteristic matrices and spectral properties of evolutionary systems. In particular, we study so-called multiplicity theorems. Several examples will illustrate our results.
引用
收藏
页码:479 / 517
页数:39
相关论文
共 50 条
  • [31] Spectral properties of left triangular matrices
    Blank, ML
    RUSSIAN MATHEMATICAL SURVEYS, 2001, 56 (01) : 149 - 151
  • [32] Spectral properties of preconditioned Toeplitz matrices
    Serra, S
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1997, 11A (02): : 463 - 483
  • [33] On local spectral properties of operator matrices
    Il Ju An
    Eungil Ko
    Ji Eun Lee
    Journal of Inequalities and Applications, 2021
  • [34] TOURNAMENT MATRICES WITH EXTREMAL SPECTRAL PROPERTIES
    KIRKLAND, SJ
    SHADER, BL
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 196 : 1 - 17
  • [35] Spectral Properties of Block Jacobi Matrices
    Swiderski, Grzegorz
    CONSTRUCTIVE APPROXIMATION, 2018, 48 (02) : 301 - 335
  • [36] On the Spectral Properties of Line Distance Matrices
    You, Zhifu
    Liu, Bolian
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2009, 62 (03) : 673 - 679
  • [37] Spectral properties of the binary Hadamard matrices
    Gonzalez, Luis
    Suarez, Antonio
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (01): : 113 - 132
  • [38] On local spectral properties of operator matrices
    An, Il Ju
    Ko, Eungil
    Lee, Ji Eun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [39] Spectral Properties of Block Jacobi Matrices
    Grzegorz Świderski
    Constructive Approximation, 2018, 48 : 301 - 335
  • [40] SOME PROPERTIES OF THE SPECTRAL RADIUS OF A SET OF MATRICES
    Czornik, Adam
    Jurgas, Piotr
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2006, 16 (02) : 183 - 188