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Spectral Properties of a Multiplication Operator
Author(s) -
Hardt Volker,
Wagenführer Ekkehard
Publication year - 1996
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19961780108
Subject(s) - mathematics , multiplication (music) , eigenvalues and eigenvectors , multiplication operator , differential operator , operator (biology) , spectrum (functional analysis) , pure mathematics , gravitational singularity , semi elliptic operator , order (exchange) , mathematical analysis , combinatorics , hilbert space , biochemistry , chemistry , physics , finance , repressor , quantum mechanics , transcription factor , economics , gene
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”.