On completeness of spaces of continuous functions
On completeness with respect to a Carathéodory-like metric
On completions of LB-spaces of Moscatelli type.
On complex interpolation and spectral continuity
Let , 0 ≤ t ≤ 1, be Banach spaces obtained via complex interpolation. With suitable hypotheses, linear operators T that act boundedly on both and will act boundedly on each . Let denote such an operator when considered on , and denote its spectrum. We are motivated by the question of whether or not the map is continuous on (0,1); this question remains open. In this paper, we study continuity of two related maps: (polynomially convex hull) and (boundary of the polynomially convex...
On complex interpolation with an analytic functional.
On complex -predual spaces.
On complexity of a set of norms in Banach spaces
On conability of singlevalued mappings
On conditions for the boundedness of the Weyl fractional integral on weighted spaces
In this paper we give a sufficient condition on the pair of weights for the boundedness of the Weyl fractional integral from into . Under some restrictions on and , this condition is also necessary. Besides, it allows us to show that for any there exist non-trivial weights such that is bounded from into itself, even in the case .
On Congruences and Cones.
On constructive versions of the Tychonoff and Schauder fixed point theorems.
On Continuity of Algebra Homomorphisms and Uniqueness of Metric Topology.
On continuous extensions.
On continuous images of Eberlein compacts
On contraction-type mappings on a 2-normed space
On contractive projections in Hardy spaces
We prove a conjecture of Wojtaszczyk that for 1 ≤ p < ∞, p ≠ 2, does not admit any norm one projections with dimension of the range finite and greater than 1. This implies in particular that for 1 ≤ p < ∞, p ≠ 2, does not admit a Schauder basis with constant one.
On contradictions of normed vector spaces
On control submeasures and measures
On convergence in -inner product spaces.
On convergence in some subspaces of generalized functions