3 citations · 3 across the 3 of their papers we have counts for
5 papers · 1 filter
Rational approximation of operator semigroups via the -calculus
Alexander Gomilko, Yuri Tomilov
We improve the classical results by Brenner and Thomée on rational approximations of operator semigroups. In the setting of Hilbert spaces, we introduce a finer regularity scale fo…
Rational approximation of holomorphic semigroups revisited
Charles Batty, Alexander Gomilko, Yuri Tomilov
Using a recently developed -calculus we propose a unified approach to the study of rational approximations of holomorphic semigroups on Banach spaces. We provide unifie…
Generation of subordinated holomorphic semigroups via Yosida's theorem
Alexander Gomilko, Yuri Tomilov
Using functional calculi theory, we obtain several estimates for , where is a Bernstein function, is a bounded completely monotone function and is the ge…
On subordination of holomorphic semigroups
Alexander Gomilko, Yuri Tomilov
We prove that for any Bernstein function the operator generates a holomorphic -semigroup on a Banach space, whenever does. This answe…
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…