On Banach spaces X for which
On Banach spaces X such that L(Lp,X) = K(Lp,X).
On Bárány's theorems of Carathéodory and Helly type
The paper begins with a self-contained and short development of Bárány’s theorems of Carathéodory and Helly type in finite-dimensional spaces together with some new variants. In the second half the possible generalizations of these results to arbitrary Banach spaces are investigated. The Carathéodory-Bárány theorem has a counterpart in arbitrary dimensions under suitable uniform compactness or uniform boundedness conditions. The proper generalization of the Helly-Bárány theorem reads as follows:...
On barrelled topological modules.
On barycentrically soft compacta
On barycentrs in non-compact sets
On bases and projections in non-Archimedean Banach spaces.
On Bases And Projections In Non-Archimedean Banach Spacs
On bases and the shift operator
On bases and unconditional bases in the spaces ,1≤p<∞
On bases, compactness and weak convergence in the Banach space
On bases in Banach spaces
We investigate various kinds of bases in infinite-dimensional Banach spaces. In particular, we consider the complexity of Hamel bases in separable and non-separable Banach spaces and show that in a separable Banach space a Hamel basis cannot be analytic, whereas there are non-separable Hilbert spaces which have a discrete and closed Hamel basis. Further we investigate the existence of certain complete minimal systems in as well as in separable Banach spaces.
On bases in the spaces of Dirichlet transformations of finite order
On basic concepts of non-commutative topology
On basic Hahn-Banach extensions
On basis sequences in non-locally convex spaces
On Bell's duality theorem for harmonic functions
Define as the subspace of consisting of all harmonic functions in B, where B is the ball in the n-dimensional Euclidean space and E is any Banach space. Consider also the space consisting of all harmonic E*-valued functions g such that is bounded for some m>0. Then the dual is represented by through , . This extends the results of S. Bell in the scalar case.
On belonging of trigonometric series to Orlicz space.
On Besov spaces and absolute convergence of the Fourier transform on Heisenberg groups
In this paper the absolute convergence of the group Fourier transform for the Heisenberg group is investigated. It is proved that the Fourier transform of functions belonging to certain Besov spaces is absolutely convergent. The function spaces are defined in terms of the heat semigroup of the full Laplacian of the Heisenberg group.
On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc