On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable \(C_0\)-semigroups
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Publication:1777704
DOI10.1155/S0161171204311105zbMath1083.47028MaRDI QIDQ1777704
Publication date: 25 May 2005
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/52193
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)
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Differential and analytical properties of semigroups of operators ⋮ Comment on ``On the Carleman classes of vectors of a scalar type spectral operator ⋮ Nuclearity of Hankel operators for ultradifferentiable control systems ⋮ On the differentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator ⋮ On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis ⋮ On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one ⋮ On the differentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis
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