K. Storozhuk

activity

20062025

collaborators

Showing 2010Show all

3 papers · 1 filter

math.FA2010

Symmetric Invariant Subspaces of Complexifications of Linear Operators

K. V. Storozhuk

We prove the existence of the invariant subspaces of some operators in a real Banach space. For example, linear isometries have invariant subspaces

math.FA2010

Obstructions for uniform stability of C_0-semigroup

K. V. Storozhuk

Let T be a C_0-semigroup on X with generator A. We prove that if the abscissa of uniform boundedness of the resolvent A is non-negative then for each a non-decreasing function h:[0…

math.FA2010

Slowly Changing Vectors and the Asymptotic Finite-Dimensionality of an Operator Semigroup

K. V. Storozhuk

Let $T : X \to X$ be a linear power bounded operator on Banach space. Let $X_{0}$ is a subspace of vectors tending to zero under iterating of $T$ . We prove that if $X_{0}$ is not equal to…