On the product of operator valued measures
On the product property of the Carathéodory pseudodistance
We prove that, for certain domains , continuous product of domains , the Carathéodory pseudodistance satisfies the following product property
On the products of quantum logics
On the projection constants of some topological spaces and some applications.
On the Projective Tensor Product of Vector-Valued Measures. II.
On the projectivity and flatness of some group modules
In the sequel of the work of H. G. Dales and M. E. Polyakov we give a few more examples of modules over the Banach algebra L¹(G) whose projectivity resp. flatness implies the compactness resp. amenability of the locally compact group G.
On the punctured neighbourhood theorem.
On the quantum groups and semigroups of maps between noncommutative spaces
We define algebraic families of (all) morphisms which are purely algebraic analogs of quantum families of (all) maps introduced by P. M. Sołtan. Also, algebraic families of (all) isomorphisms are introduced. By using these notions we construct two classes of Hopf-algebras which may be interpreted as the quantum group of all maps from a finite space to a quantum group, and the quantum group of all automorphisms of a finite noncommutative (NC) space. As special cases three classes of NC objects are...
On the Quasiasymptotic Behaviour of the Stieltjes Transformation of Distributions
On the quasinormability of Hb (U).
On the quasi-weak drop property
A new drop property, the quasi-weak drop property, is introduced. Using streaming sequences introduced by Rolewicz, a characterisation of the quasi-weak drop property is given for closed bounded convex sets in a Fréchet space. From this, it is shown that the quasi-weak drop property is equivalent to weak compactness. Thus a Fréchet space is reflexive if and only if every closed bounded convex set in the space has the quasi-weak drop property.
On the Rademacher maximal function
This paper studies a new maximal operator introduced by Hytönen, McIntosh and Portal in 2008 for functions taking values in a Banach space. The -boundedness of this operator depends on the range space; certain requirements on type and cotype are present for instance. The original Euclidean definition of the maximal function is generalized to σ-finite measure spaces with filtrations and the -boundedness is shown not to depend on the underlying measure space or the filtration. Martingale techniques...
On the radical in Hermitian LMC algebras
On the radical of J*-triples.
On the radicals of p-normed algebras
On the radius of a set in a Hilbert space
On the radius of convergence of an entire function in a normed space
On the Radon-Nikodym property in locally convex spaces and the completeness of L1ε.
On the randomized complexity of Banach space valued integration
We study the complexity of Banach space valued integration in the randomized setting. We are concerned with r times continuously differentiable functions on the d-dimensional unit cube Q, with values in a Banach space X, and investigate the relation of the optimal convergence rate to the geometry of X. It turns out that the nth minimal errors are bounded by if and only if X is of equal norm type p.
On the range of completely bounded maps.