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 L^2(a,b) and the infinitesimal generator of a C_0-semigroup of bounded linear operators.
@article{bwmeta1.element.bwnjournal-article-amcv13i4p481bwm,
author = {Delattre, C\'edric and Dochain, Denis and Winkin, Joseph},
title = {Sturm-Liouville systems are Riesz-spectral systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {13},
year = {2003},
pages = {481-484},
zbl = {1065.93010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv13i4p481bwm}
}
Delattre, Cédric; Dochain, Denis; Winkin, Joseph. Sturm-Liouville systems are Riesz-spectral systems. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) pp. 481-484. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv13i4p481bwm/
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