K. Storozhuk

activity

20062025

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6 papers · 1 filter

math.FA2025

Disjointly almost trivial unbounded functionals

Konstantin Storozhuk

We show that there exist unbounded functionals on the spaces of sequences that take at most one nonzero value on an arbitrary family of elements whose supports are pairwise disjoin…

math.FA2011

Strongly normal cones and the midpoint locally uniform rotundity

Konstantin Storozhuk

We give the method of construction of normal but not strongly normal positive cones in Banach space.

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…

math.FA2006

Occasionally attracting compact sets and compact-supercyclicity

K. Storozhuk

Let $X$ be a real or complex Banach space and $T_{t} : X \to X$ is a power bounded operator (or a $C_{0}$ -semigroup). If there exists a "occasionally" attracting compact subset K (for eac…