We denote N, R, C the sets of natural, real and complex numbers respectively. Let (λn), n ∈ N be an unbounded sequence numbers. Costakis has proved following result. There exists entire function f with property: for every x, y R 0 , θ ∈(0,1) a there is subsequence natural (mn), such that, compact subset L ⊆ In present paper we show that constant cannot replaced by any non-constant G. This so ev...

For stochastic C0-semigroups on L1-spaces there is a wealth of results that show strong convergence to an equilibrium as t ? ?, given the semigroup contains partial integral operator. This has plenty applications transport equations and in mathematical biology. However, up now operators do not play prominent role theorems which yield uniform rather than only convergence. In this article we prov...