On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials
Abstract Generalizing the case of a normal operator in a complex Hilbert space, we give a straightforward proof of the non-hypercyclicity of a scalar type spectral operator A in a complex Banach space as well as of the collection
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On the Carleman ultradifferentiable vectors of a scalar type spectral operator
Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=838.
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A characterization of the scalar type spectral generators of Beurling type Carleman ultradifferentiable $C_0$-semigroups is established, the important case of the Gevrey ultradifferentiability is considered in detail, the implementation of the general criterion corresponding to a certain rapidly growing defining sequence is observed.
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Found are conditions on a scalar type spectral operator $A$ in a complex Banach space necessary and sufficient for all weak solutions of the evolution equation \begin{equation*} y'(t)=Ay(t),\ t\ge 0, \end{equation*} to be strongly Gevrey ultradifferentiable of order $ \ge 1$, in particular analytic or entire, on $[0,\infty)$.
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Spectral quantum algorithm for passive scalar transport in shear flows. [PDF]
Pfeffer P +3 more
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Operator-level quantum acceleration of non-logconcave sampling. [PDF]
Leng J, Ding Z, Chen Z, Lin L.
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Basic Process Equation for Analytical Chemistry - An Inclusive and Conciliatory Approach. [PDF]
Cuadros-RodrÃguez L.
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Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus. [PDF]
Carrillo JA, Salmaniw Y.
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Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme. [PDF]
Yousuf M, Alshakhoury N.
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On the Monotonicity of Relative Entropy: A Comparative Study of Petz's and Uhlmann's Approaches. [PDF]
Matheus S, Bottacin F, Provenzi E.
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