5 papers · 1 filter
Counterexample to the Trotter product formula for projections
Mate Matolcsi, Roman Shvidkoy
We constructed a unitary semigroup on a Hilbert space and an orthogonal projection such that the limit does…
Hyperbolicity of semigroups and Fourier multipliers
Yuri Latushkin, Roman Shvidkoy
We present a characterization of hyperbolicity for strongly continuous semigroups on Banach spaces in terms of Fourier multiplier properties of the resolvent of the generator. Hype…
Narrow operators and rich subspaces of Banach spaces with the Daugavet property
Vladimir Kadets, Roman Shvidkoy, Dirk Werner
Let be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on which depend only on the norms of images of…
Some Remarks on Vector-Valued Integration
V Kadets, B. Shumyatskiy, R. Shvidkoy +2
The article presents a new method of integration of functions with values in Banach spaces. This integral and related notions prove to be a useful tool in the study of Banach space…
The largest linear space of operators satisfying the Daugavet Equation in L_1
R. Shvidkoy
We find the largest linear space of bounded linear operators on L_1(Omega), that being restricted to any L_1(A), A \subset Omega, satisfy the Daugavet equation.