On integration in Banach spaces, VIII. Polymeasures
On integration in Banach spaces. X: Integration with respect to polymeasures
On integration in Banach spaces, XI. Integration with respect to polymeasures
On integration in Banach spaces, XII. Integration with respect to polymeasures
On integration in Banach spaces, XIII. Integration with respect to polymeasures
On integration in complete bornological locally convex spaces
A generalization of I. Dobrakov’s integral to complete bornological locally convex spaces is given.
On integration of vector functions with respect to vector measures
We study integration of Banach space-valued functions with respect to Banach space-valued measures. We focus our attention on natural extensions to this setting of the Birkhoff and McShane integrals. The corresponding generalization of the Birkhoff integral was first considered by Dobrakov under the name -integral. Our main result states that -integrability implies McShane integrability in contexts in which the later notion is definable. We also show that a function is measurable and McShane integrable...
On inverses of -convex mappings
In the first part of this paper, we prove that in a sense the class of bi-Lipschitz -convex mappings, whose inverses are locally -convex, is stable under finite-dimensional -convex perturbations. In the second part, we construct two -convex mappings from onto , which are both bi-Lipschitz and their inverses are nowhere locally -convex. The second mapping, whose construction is more complicated, has an invertible strict derivative at . These mappings show that for (locally) -convex mappings...
On -differentiability and difference properties of functions
On lifting quasi-Radon measures.
On Lipschitz conditions for ordinary differential equations in Fréchet spaces
We will give an existence and uniqueness theorem for ordinary differential equations in Fréchet spaces using Lipschitz conditions formulated with a generalized distance and row-finite matrices.
On local derivatives
On Mackey's Imprimitivity Theorem.
On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
On measure zero sets in topological vector spaces.
On multilinear generalizations of the concept of nuclear operators
This paper introduces the class of Cohen p-nuclear m-linear operators between Banach spaces. A characterization in terms of Pietsch's domination theorem is proved. The interpretation in terms of factorization gives a factorization theorem similar to Kwapień's factorization theorem for dominated linear operators. Connections with the theory of absolutely summing m-linear operators are established. As a consequence of our results, we show that every Cohen p-nuclear (1 < p ≤ ∞ ) m-linear mapping...
On multilinear mappings attaining their norms.
We show, for any Banach spaces X and Y, the denseness of the set of bilinear forms on X × Y whose third Arens transpose attains its norm. We also prove the denseness of the set of norm attaining multilinear mappings in the class of multilinear mappings which are weakly continuous on bounded sets, under some additional assumptions on the Banach spaces, and give several examples of classical spaces satisfying these hypotheses.
On multilinear mappings of nuclear type.
The space of multilinear mappings of nuclear type (s;r1,...,rn) between Banach spaces is considered, some of its properties are described (including the relationship with tensor products) and its topological dual is characterized as a Banach space of absolutely summing mappings.
On nonconvex subdifferential calculus in Banach spaces.
On non-Uniqueness of Complex Geodesies in Convex Bounded Domains
Si studiano «combinazioni convesse complesse» per mappe olomorfe dal disco unità di in un dominio convesso limitato di uno spazio di Banach complesso , e se ne traggono conseguenze sul carattere globale della non unicità per le geodetiche complesse di .