A. M. Gomilko

most citedOn subordination of holomorphic semigroups

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2014

Generation of subordinated holomorphic semigroups via Yosida's theorem

Alexander Gomilko, Yuri Tomilov

Using functional calculi theory, we obtain several estimates for $∥ ψ (A) g (A) ∥$ , where $ψ$ is a Bernstein function, $g$ is a bounded completely monotone function and $- A$ is the ge…

math.FA2014★ 3 cited

On subordination of holomorphic semigroups

Alexander Gomilko, Yuri Tomilov

We prove that for any Bernstein function $ψ$ the operator $- ψ (A)$ generates a holomorphic $C_{0}$ -semigroup $(e^{- t ψ (A)})_{t \geq 0}$ on a Banach space, whenever $- A$ does. This answe…

math.FA2010

On a Question of A. E. Nussbaum on Measurability of Families of Closed Linear Operators in a Hilbert Space

Fritz Gesztesy, Alexander Gomilko, Fedor Sukochev +1

The purpose of this note is to answer a question A. E. Nussbaum formulated in 1964 about the possible equivalence between weak measurability of a family of densely defined, closed…