2 citations · 3 across the 6 of their papers we have counts for
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On general construct of chaotic unbounded linear operators in Banach Spaces with Schauder Bases
Marat V. Markin
We utilize the idea underlying the construct of the classical weighted backward shift Rolewicz's operators to furnish a straightforward approach to a general construct of chaotic u…
On the chaoticity and spectral structure of Rolewicz-type unbounded operators
Marat V. Markin
We prove the chaoticity and describe the spectral structure of Rolewicz-type weighted backward shift unbounded linear operators in the sequence spaces () and $…
On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials
Marat V. Markin
Generalizing the case of a normal operator in a complex Hilbert space, we give a straightforward proof of the non-hypercyclicity of a (bounded or unbounded) scalar type spectral op…
On the differentiability 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 scalar type spectral operator in a complex Banach space, found are conditions necessary and suff…