Y. Tomilov

activity

20032026

most citedProduct formulas in functional calculi for sectorial operators

26 citations · 117 across the 42 of their papers we have counts for

collaborators

Showing 2016 · math.FAShow all

3 papers · 2 filters

math.FA2016

Circles in the spectrum and the geometry of orbits: a numerical ranges approach

Vladimir Muller, Yuri Tomilov

We prove that a bounded linear Hilbert space operator has the unit circle in its essential approximate point spectrum if and only if it admits an orbit satisfying certain orthogona…

math.FA2016

Operators $L^{1} (R_{+}) \to X$ and the norm continuity problem for semigroups

R. Chill, Yu. Tomilov

We present a new method for constructing $C_{0}$ -semigroups for which properties of the resolvent of the generator and continuity properties of the semigroup in the operator-norm top…

math.FA2016★ 2 cited

Resolvent representations for functions of sectorial operators

Charles Batty, Alexander Gomilko, Yuri Tomilov

We obtain integral representations for the resolvent of $ψ (A)$ , where $ψ$ is a holomorphic function mapping the right half-plane and the right half-axis into themselves, and $A$ is…

Circles in the spectrum and the geometry of orbits: a numerical ranges approach

Operators L1(R+​)→X and the norm continuity problem for semigroups

Resolvent representations for functions of sectorial operators

Operators $L^{1} (R_{+}) \to X$ and the norm continuity problem for semigroups