Correction to “Topological balls”
Darstellung von Banach-Verbänden und Sätze vom Korovkin-Typ.
Dentabilité et points extrémaux
Descriptive properties of elements of biduals of Banach spaces
If E is a Banach space, any element x** in its bidual E** is an affine function on the dual unit ball that might possess a variety of descriptive properties with respect to the weak* topology. We prove several results showing that descriptive properties of x** are quite often determined by the behaviour of x** on the set of extreme points of , generalizing thus results of J. Saint Raymond and F. Jellett. We also prove a result on the relation between Baire classes and intrinsic Baire classes...
Die Automorphismen und die Invarianzgruppe der Algebra der konvergenten Potenzreihen eines Banachraumes.
Differentiability of the distance function and points of multi-valuedness of the metric projection in Banach space
Dimension of non-Archimedean Banach spaces
Directions d'uniforme convexité dans un espace normé
Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?
The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his. Later on, it was recognized by Takao Hoshina as a question that is of fundamental importance in the theory of rectangular normality. The present paper provides a complete affirmative solution. The technique developed for the purpose allows one to answer also another question of Przymusiński's.
Domains of ...-Holomorphy in a Separable Banach Space.
Equivalence of some geometric and related results of nonlinear functional analysis
Equivariant sheaf cohomology.
Espaces de Banach séparables contenant
Espaces de Banach ultraplats et espaces de Lindenstrauss-Pelczynski
Espaces de cotype ,
Espaces vectoriels de codimension finie ou dénombrable dans un espace de Banach
Etude des espaces A(K) qui sont des duaux.
Extensions of the representation theorems of Riesz and Fréchet
We present two types of representation theorems: one for linear continuous operators on space of Banach valued regulated functions of several real variables and the other for bilinear continuous operators on cartesian products of spaces of regulated functions of a real variable taking values on Banach spaces. We use generalizations of the notions of functions of bounded variation in the sense of Vitali and Fréchet and the Riemann-Stieltjes-Dushnik or interior integral. A few applications using geometry...
Factorable and strictly singular operators in a product space
Factorization of compact operators and applications to the approximation problem