Spectral properties of a multiplication operator

被引：18
作者：
Hardt, V
Wagenfuhrer, E
机构：
[1] Universität Regensburg, NWF I - Mathematik
来源：
MATHEMATISCHE NACHRICHTEN | 1996年 / 178卷
关键词：
differential equations; boundary value problems in ODE's; multiplication operator;
D O I：
10.1002/mana.19961780108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we study the spectral properties of a multiplication operator in the space L(p)(X)(m) which is given by an m by m matrix of measurable functions. Our particular interest is directed to the eigenvalues and the isolated spectral points which turn out to be eigenvalues. We apply these results in order to investigate the spectrum of an ordinary differential operator with so called ''floating singularities''.
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页码：135 / 156
页数：22
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