Displaying similar documents to “Continuity versus boundedness of the spectral factorization mapping”

Sturm-Liouville systems are Riesz-spectral systems

Cédric Delattre, Denis Dochain, Joseph Winkin (2003)

International Journal of Applied Mathematics and Computer Science

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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.

Spectral mapping framework

Anar Dosiev (2005)

Banach Center Publications

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In this paper we suggest a general framework of the spectral mapping theorem in terms of parametrized Banach space bicomplexes.