2 citations · 3 across the 6 of their papers we have counts for
4 papers · 2 filters
On linear chaos in function spaces
John M. Jimenez, Marat V. Markin
We show that, in (), bounded weighted translations as well as their unbounded counterparts are chaotic linear operators. We also extend the unbou…
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis
Marat V. Markin
Given the abstract evolution equation \[ y'(t)=Ay(t),\ t\in \mathbb{R}, \] with a scalar type spectral operator in a complex Banach space, we find conditions on , formulated…
On expansions
Marat V. Markin, Edward S. Sichel
When finding an original proof to a known result describing expansions on compact metric spaces as surjective isometries, we reveal that relaxing the condition of compactness to to…
On the non-hypercyclicity of normal operators, collections of their exponentials, and symmetric operators
Marat V. Markin, Edward S. Sichel
We give a simple, straightforward proof of the non-hypercyclicity of an arbitrary normal operator (bounded or unbounded) in a complex Hilbert space as well as of the collection…