Rademacher variables in connection with complex scalars.
Radial limits in co-invariant subspaces
Radon-Nikodym property for vector-valued integrable functions
It is proved that if a Frechet space has property, then also has property, for .
Rank α operators on the space C(T,X)
For 0 ≤ α < 1, an operator U ∈ L(X,Y) is called a rank α operator if implies Uxₙ → Ux in norm. We give some results on rank α operators, including an interpolation result and a characterization of rank α operators U: C(T,X) → Y in terms of their representing measures.
Real Analytic Curves in Fréchet Spaces and Their Duals.
Realcompactness and spaces of vector-valued functions
It is shown that the existence of a biseparating map between a large class of spaces of vector-valued continuous functions A(X,E) and A(Y,F) implies that some compactifications of X and Y are homeomorphic. In some cases, conditions are given to warrant the existence of a homeomorphism between the realcompactifications of X and Y; in particular we find remarkable differences with respect to the scalar context: namely, if E and F are infinite-dimensional and T: C*(X,E) → C*(Y,F) is a biseparating...
Regularity of general weighted inductive limits.
Regulated functions with values in Banach space
This paper deals with regulated functions having values in a Banach space. In particular, families of equiregulated functions are considered and criteria for relative compactness in the space of regulated functions are given.
Remarks on the complementability of spaces of Bochner integrable functions in spaces of vector measures
In the paper [5] L. Drewnowski and the author proved that if is a Banach space containing a copy of then is not complemented in and conjectured that the same result is true if is any Banach space without the Radon-Nikodym property. Recently, F. Freniche and L. Rodriguez-Piazza ([7]) disproved this conjecture, by showing that if is a finite measure and is a Banach lattice not containing copies of , then is complemented in . Here, we show that the complementability of in together...
Renorming in the Space of Bochner Intgrable Functions.
Representaciones de los espacios OM (E) y DLP (E).
Representation of linear operators on spaces of vector valued functions
Representation of multilinear operators on C(K, X) spaces.
We present a Riesz type representation theorem for multilinear operators defined on the product of C(K,X) spaces with values in a Banach space. In order to do this we make a brief exposition of the theory of operator valued polymeasures.
Representation of operators defined on the space of Bochner integrable functions.
Retractions and Open Mappings between Convex Sets.
Riemann--Stieltjes operators between vector-valued weighted Bloch spaces.
Rml;ume holomorpher Vektorfunktionen mit Wachstumsbedingungen und topologische Tensorprodukte.