4 citations · 27 across the 22 of their papers we have counts for
6 papers · 1 filter
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 chaoticity of derivatives
Marat V. Markin
We utilize a recently established by the author sufficient condition for linear chaos to prove the chaoticity of derivatives in the spaces and ($-\infty<a<b<\in…
On a characterization of convergence in Banach spaces with a Schauder basis
Marat V. Markin, Olivia B. Soghomonian
We extend the well-known characterizations of convergence in the spaces () of -summable sequence and of vanishing sequences to a general characterizat…
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…