26 citations · 117 across the 42 of their papers we have counts for
5 papers · 1 filter
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…
Fine scales of decay of operator semigroups
Charles Batty, Ralph Chill, Yuri Tomilov
Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and…
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…