Mean Ergodicity of Power-Bounded Operators in Countably Order Complete Banach Lattices.
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.
Mean Oscillation of Functions and the Paley-Wiener Space.
Mean value theorem for convex functionals
Means and Concave Products of Positive Semi-Definite Matrices.
Means and convex combinations of unitary operators.
Means of Positive Linear Operators.
Means of positive matrices: geometry and a conjecture.
Means of vector-valued functions and projections which commute with the action of a group
Mean-value theorems and ergodicity of certain geodesic random walks
Measurability of linear operators in the Skorokhod topology.
Measurable linear operators on Banach spaces
Measure of noncompactness of linear operators between spaces of sequences that are summable or bounded
In this paper we investigate linear operators between arbitrary BK spaces and spaces of sequences that are summable or bounded. We give necessary and sufficient conditions for infinite matrices to map into . Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for to be a compact operator.
Measure of noncompactness of operators and matrices on the spaces and .
Measure of non-compactness of operators interpolated by the real method
We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.
Measure of noncompactness of subsets of Lebesgue spaces
Measure of nonhyperconvexity and fixed-point theorems.
Measure of weak noncompactness under complex interpolation
Logarithmic convexity of a measure of weak noncompactness for bounded linear operators under Calderón’s complex interpolation is proved. This is a quantitative version for weakly noncompact operators of the following: if T: A₀ → B₀ or T: A₁ → B₁ is weakly compact, then so is for all 0 < θ < 1, where and are interpolation spaces with respect to the pairs (A₀,A₁) and (B₀,B₁). Some formulae for this measure and relations to other quantities measuring weak noncompactness are established.
Measure theory in noncommutative spaces.
Measure-geometric Laplacians for partially atomic measures
Motivated by the fundamental theorem of calculus, and based on the works of W. Feller as well as M. Kac and M. G. Kreĭn, given an atomless Borel probability measure supported on a compact subset of U. Freiberg and M. Zähle introduced a measure-geometric approach to define a first order differential operator and a second order differential operator , with respect to . We generalize this approach to measures of the form , where is non-atomic and is finitely supported. We determine analytic...