On the extension of Lipschitz maps with values in a Fréchet space
On the extension of Lipschitz-Hölder maps on spaces
On the extension of Lipschitz-Hölder maps on Orlicz spaces
On the extension of measures
On the extension of positive linear functionals.
On the extension of positive operators
On the extension of rotund norms.
On the extension problem for unbounded measures on projections
On the extrema of integrable functions.
On the extremal points of the closed unit balls in some abstract spaces
On the Extreme Points and Strongly Extreme Points in Köther-Bochner Spaces
On the Facial Structure of the Unit Ball of a GM-Space.
On the Fejér means of bounded Ciesielski systems
We investigate the bounded Ciesielski systems, which can be obtained from the spline systems of order (m,k) in the same way as the Walsh system arises from the Haar system. It is shown that the maximal operator of the Fejér means of the Ciesielski-Fourier series is bounded from the Hardy space to if 1/2 < p < ∞ and m ≥ 0, |k| ≤ m + 1. Moreover, it is of weak type (1,1). As a consequence, the Fejér means of the Ciesielski-Fourier series of a function f converges to f a.e. if f ∈ L₁ as n...
On the Finest Locally Convex Topology Agreeing with a Given Topology on a Sequence of Absolutely Convex Sets.
On the finite dimensional orbits of linear operators
On the fixed point property in direct sums of Banach spaces with strictly monotone norms
It is shown that if a Banach space X has the weak Banach-Saks property and the weak fixed point property for nonexpansive mappings and Y has the asymptotic (P) property (which is weaker than the condition WCS(Y) > 1), then X ⊕ Y endowed with a strictly monotone norm enjoys the weak fixed point property. The same conclusion is valid if X admits a 1-unconditional basis.
On the fixed points of nonexpansive mappings in direct sums of Banach spaces
We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum X ⊕ Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.
On the fixed-point property of unital uniformly closed subalgebras of .
On the Fock representation of the q-commutation relations.
On the Forelli-Rudin construction and weighted Bergman projections