26 citations · 53 across the 24 of their papers we have counts for
4 papers · 2 filters
What does a rate in a mean ergodic theorem imply?
Alexander Gomilko, Yuri Tomilov
We develop a general framework for the inverse mean ergodic theorems with rates for operator semigroups thus completing a construction of the theory initiated in [16] and [17].
Product formulas in functional calculi for sectorial operators
Charles Batty, Alexander Gomilko, Yuri Tomilov
We study the product formula in the framework of (unbounded) functional calculus of sectorial operators . We give an abstract result, and, as corollaries, w…
On convergence rates in approximation theory for operator semigroups
Alexander Gomilko, Yuri Tomilov
We create a new, functional calculus, approach to approximation of C_0-semigroups on Banach spaces. As an application of this approach, we obtain optimal convergence rates in class…
On rates in Euler's formula for C_0-semigroups
Alexander Gomilko, Yuri Tomilov
By functional calculus methods, we obtain optimal convergence rates in Euler's approximation formula for C_0-semigroups restricted to ranges of generalized Stieltjes functions. Our…