Means of vector-valued functions and projections which commute with the action of a group
Means on -subspaces of with RNP and Schur property
Let be a locally compact abelian group and be the space of bounded convolution...
Means with values in a Banach lattice.
Measurability and Pettis integration in Hilbert spaces.
Measurability of functions with values in partially ordered spaces
Measurability of linear operators in the Skorokhod topology.
Measurable bundles of -algebras.
Measurable functionals on function spaces
We prove that all measurable functionals on certain function spaces are measures; this improves the (known) results about weak sequential completeness of spaces of measures. As an application, we prove several results of this form: if the space of invariant functionals on a function space is separable then every invariant functional is a measure.
Measurable linear operators on Banach spaces
Measurable multifunctions and their applications to convex integral functionals.
Measure concentration for compound Poisson distributions.
Measure density and extendability of Sobolev functions.
Measure determining classes of balls in 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 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.
Measures of noncircularity and fixed points of contractive multifunctions.