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Paper details
Number 4 - December 2003
Volume 13 - 2003
Sturm-Liouville systems are Riesz-spectral systems
Cédric Delattre, Denis Dochain, Joseph Winkin
Abstract
The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L2(a, b) and the infinitesimal generator of a C0-semigroup of bounded linear operators.
Keywords
Sturm-Liouville system, Riesz-spectral system, infinite-dimensional state-space system, C0-semigroup