Temperierte vektorwertige Distributionen und langsam wachsende holomorphe Funktionen.
Tensor Products and Spaces of Vector-Valued Continuous Functions.
Tensor products of almost r-summing maps.
The Centralizer of Bochner L°°-Spaces.
The centre of the spaces of Banach lattice-valued continuous functions on the generalized Alexandroff duplicate.
The Choquet integral representation in the affine vector-valued case.
The Dual of a Space of Vector Measures.
The Fréchet envelopes of vector-valued Smirnov classes
The functionals of the kind of Banach limits.
The Gliding Hump Property in Vector Sequence Spaces.
The -Helmholtz projection in finite cylinders
In this article we prove for the existence of the -Helmholtz projection in finite cylinders . More precisely, is considered to be given as the Cartesian product of a cube and a bounded domain having -boundary. Adapting an approach of Farwig (2003), operator-valued Fourier series are used to solve a related partial periodic weak Neumann problem. By reflection techniques the weak Neumann problem in is solved, which implies existence and a representation of the -Helmholtz projection as...
The Mazur intersection property for families of closed bounded convex sets in Banach spaces
The One-Third-Trick and Shift Operators
We obtain a representation as martingale transform operators for the rearrangement and shift operators introduced by T. Figiel. The martingale transforms and the underlying sigma algebras are obtained explicitly by combinatorial means. The known norm estimates for those operators are a direct consequence of our representation.
The problem of complementability for some spaces of vector measures of bounded variation with values in Banach spaces containing copies of
Let (S, ∑, m) be any atomless finite measure space, and X any Banach space containing a copy of . Then the Bochner space is uncomplemented in ccabv(∑,m;X), the Banach space of all m-continuous vector measures that are of bounded variation and have a relatively compact range; and ccabv(∑,m;X) is uncomplemented in cabv(∑,m;X). It is conjectured that this should generalize to all Banach spaces X without the Radon-Nikodym property.
The property () of Orlicz-Bochner sequence spaces
A characterization of property of an arbitrary Banach space is given. Next it is proved that the Orlicz-Bochner sequence space has the property if and only if both spaces and have it also. In particular the Lebesgue-Bochner sequence space has the property iff has the property . As a corollary we also obtain a theorem proved directly in [5] which states that in Orlicz sequence spaces equipped with the Luxemburg norm the property , nearly uniform convexity, the drop property and...
The range of a contractive projection in Lp(H).
We show that the range of a contractive projection on a Lebesgue-Bochner space of Hilbert valued functions Lp(H) is isometric to a lp-direct sum of Hilbert-valued Lp-spaces. We explicit the structure of contractive projections. As a consequence for every 1 < p < ∞ the class Cp of lp-direct sums of Hilbert-valued Lp-spaces is axiomatizable (in the class of all Banach spaces).
The range of vector valued holomorphic mappings
The space of countably simple bounded functions with values in a DF-space.
The spaces and the symbolic calculus of Sebastião e Silva. (Les espaces et le calcul symbolique de Sebastião e Silva.)
The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions.