3 papers
math.FA2022
On linear chaos in the spaces of vanishing and convergent sequences
Marat V. Markin, Gabriel Martinez Lazaro, Edward S. Sichel
We study the chaoticity of bounded and unbounded weighted backward shifts in the space of vanishing sequences via a novel straightforward approach based on a newl…
math.FA2019
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…
math.FA2019
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…