On asymptotic periodicity of kernel double Markovian operators

Asymptotic Periodicity of the Iterates of Positivity Preserving Operators

Assume that (AI) X is a real Banach space. (A2) X+ is a closed subset of X with the following properties: (i) if xe X+, y € X+, a e [0, oo) then x + y & X+ and ax € X+; (ii) there exists Mo € (0, oo) such that for each x € X there exist x+ e X+ and x_ 6 X+ which satisfy _=_+-__, ||_+|| < Mo||x||, ||x_||<Mo||x|| and if x = j/+ — j/_ for some y+ 6 X+, j/_ _ X+ then y+ — x.|6 X+; (iii) if x e X+, ...

On the Asymptotic Expansion of Bergman Kernel

We study the asymptotic of the Bergman kernel of the spin Dirac operator on high tensor powers of a line bundle.

Asymptotic Almost Periodicity of C-semigroups

Let {T (t)} t≥0 be a C-semigroup on a Banach space X with generator A. We will investigate the asymptotic almost periodicity of {T (t)} via the Hille-Yosida space of its generator.

On the asymptotic behavior of odd operators

We give quantitative versions of strong convergence results due to Baillon, Bruck and Reich for iterations of nonexpansive odd (and more general) operators in uniformly convex Banach spaces.

On Kernel Representation of Linear Operators