SPECTRAL PROPERTIES OF A MULTIPLICATION OPERATOR

Authors
HARDT V WAGENFUHRER E
Citation
V. Hardt et E. Wagenfuhrer, SPECTRAL PROPERTIES OF A MULTIPLICATION OPERATOR, Mathematische Nachrichten, 178, 1996, pp. 135-156
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
178
Year of publication
1996
Pages
135 - 156
Database
ISI
SICI code
0025-584X(1996)178:<135:SPOAMO>2.0.ZU;2-U
Abstract
In this note we study the spectral properties of a multiplication oper ator in the space L(p)(X)(m) which is given by an m by m matrix of mea surable functions. Our particular interest is directed to the eigenval ues and the isolated spectral points which turn out to be eigenvalues. We apply these results in order to investigate the spectrum of an ord inary differential operator with so called ''floating singularities''.