Über die Korovkinhülle von Teilmengen in lokalkonvexen Vektorverbänden.
Darstellung von Banach-Verbänden und Sätze vom Korovkin-Typ.
Über Korovkin-Sätze in lokalkonvexen Vektorverbänden.
Products of Random Variables Depending on a Random Walk.
Über das Randspektrum komplexer ordnungsbeschränkter Operatoren in Banachverbänden.
Vektorwertige invariante Maße von rechtsamenablen Halbgruppen positiver Operatoren.
On Co-Semigroups of Lattice Homomorphisms on a Banach Lattice.
Über die Charakterisierung von ...(X) durch eien optimalen Satz vom Korovkintyp.
Über den Absolutbetrag auf komplexen Vektorverbänden.
Mean lower bounds for Markov operators
Let T be a Markov operator on an L¹-space. We study conditions under which T is mean ergodic and satisfies dim Fix(T) < ∞. Among other things we prove that the sequence converges strongly to a rank-one projection if and only if there exists a function 0 ≠ h ∈ L¹₊ which satisfies for every density f. Analogous results for strongly continuous semigroups are given.
Quasi-constricted linear operators on Banach spaces
Let X be a Banach space over ℂ. The bounded linear operator T on X is called quasi-constricted if the subspace is closed and has finite codimension. We show that a power bounded linear operator T ∈ L(X) is quasi-constricted iff it has an attractor A with Hausdorff measure of noncompactness for some equivalent norm ||·||₁ on X. Moreover, we characterize the essential spectral radius of an arbitrary bounded operator T by quasi-constrictedness of scalar multiples of T. Finally, we prove that every...
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