Results 51 to 60 of about 99,725 (136)

On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials

open access: yesDemonstratio Mathematica, 2020
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

open access: yes, 2016
Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=838.
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On the generation of Beurling type Carleman ultradifferentiable $C_0$-semigroups by scalar type spectral operators

open access: yes, 2016
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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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator

open access: yes, 2017
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 $[0,\infty)$.
openaire   +2 more sources

Operator-level quantum acceleration of non-logconcave sampling. [PDF]

open access: yesProc Natl Acad Sci U S A
Leng J, Ding Z, Chen Z, Lin L.
europepmc   +1 more source

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