Spectral Properties of a Multiplication Operator

✍ Scribed by Volker Hardt; Ekkehard Wagenführer

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 960 KB
• Volume: 178
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19961780108

✦ Synopsis

In this note we study the spectral properties of a multiplication operator in the space Lp(X)" 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" .