A Characterization of Matrix Operators on l2.
A class of Banach lattices and positive operators
A generalisation of a theorem of Koldunov with an elementary proof
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
A Generalization of the Stein-Rosenberg Theorem to Banach Spaces.
A Non-Commutative Individual Ergodic Theorem.
A note on the periods of periodic solutions of some autonomous functional differential equations.
A Short Proof of the Ando-Krieger Theorem.
A simplified proof of the Daniell integral extension theorem in ordered spaces
About the class of ordered limited operators
We give a brief survey of recent results of order limited operators related to some properties on Banach lattices.
An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice.
An Interpolation Result for the Spectral Radius.
Application of Rademacher systems to operator characterizations of Banach lattices
Around the Kato generation theorem for semigroups
We show that the result of Kato on the existence of a semigroup solving the Kolmogorov system of equations in l₁ can be generalized to a larger class of the so-called Kantorovich-Banach spaces. We also present a number of related generation results that can be proved using positivity methods, as well as some examples.
Asymptotic Behaviour of Positive Semigroups.
Asymptotic behaviour of stochastic semigroups.
The problem to be treated in this note is concerned with the asymptotic behaviour of stochastic semigroups, as the time becomes very large. The subject is largely motived by the Theory of Markov processes. Stochastic semigroups usually arise from pure probabilistic problems such as random walks stochastic differential equations and many others.An outline of the paper is as follows. Section one deals with the basic definitions relative to K-positivity and stochastic semigroups. Asymptotic behaviour...
Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice
Asymptotic convergence theorems for nonnegative operators on Banach lattices, on , on C(X) and on are proved. The general results are applied to a class of integral operators on L¹.
Asymptotic periodicity of Markov operators on signed measures
A new criterion of asymptotic periodicity of Markov operators on , established in [3], is extended to the class of Markov operators on signed measures.
Asymptotic periodicity of the iterates of positive contractions on Banach lattices