Displaying similar documents to “Ein Problem rekursiver Entscheidungen.”

Mittelergodische Halbgruppen linearer Operatoren

Rainer J. Nagel (1973)

Annales de l'institut Fourier


A semigroup H in L s ( E ) , E a Banach space, is called mean ergodic, if its closed convex hull in L s ( E ) has a zero element. Compact groups, compact abelian semigroups or contractive semigroups on Hilbert spaces are mean ergodic. Banach lattices prove to be a natural frame for further mean ergodic theorems: let H be a bounded semigroup of positive operators on a Banach lattice E with order continuous norm. H is mean ergodic if there is a H -subinvariant quasi-interior point of E + and a...