2 citations · 3 across the 5 of their papers we have counts for
11 papers
On hypercyclicity and linear chaos in a nonclassical sequence space and beyond
Marat V. Markin, Eric Montoya
We analyze the hypercyclicity, chaoticity, and spectral structure of (bounded and unbounded) weighted backward shifts in a nonclassical sequence space, which the space of sum…
On asymptotics for -semigroups
Marat V. Markin
We stretch the spectral bound equal growth bound condition along with a generalized Lyapunov stability theorem, known to hold for -semigroups of normal operators on complex Hi…
An observation on unbounded linear operators with an arbitrary spectrum
Marat V. Markin
We furnish a simple way of constructing an unbounded closed linear operator in a complex Banach space, whose spectrum is an arbitrary nonempty closed, in particular compact, subset…
On sufficient and necessary conditions for linear hypercyclicity and chaos
Marat V. Markin
By strengthening one of the hypotheses of a well-known sufficient condition for the hypercyclicity of linear operators in Banach spaces, we arrive at a sufficient condition for lin…
On the regularity of scalar type spectral -semigroups
Marat V. Markin
We show that, for the -semigroups of scalar type spectral operators, a well-known necessary condition for the generation of eventually norm-continuous -semigroups, formul…
On a characterization of finite-dimensional vector spaces
Marat V. Markin
We provide a characterization of the finite dimensionality of vector spaces in terms of the right-sided invertibility of linear operators on them.