On the generalized continuity of the semivariation in locally convex spaces
On the Henstock-Kurzweil integral for Riesz-space-valued functions defined on unbounded intervals
In this paper we introduce and investigate a Henstock-Kurzweil-type integral for Riesz-space-valued functions defined on (not necessarily bounded) subintervals of the extended real line. We prove some basic properties, among them the fact that our integral contains under suitable hypothesis the generalized Riemann integral and that every simple function which vanishes outside of a set of finite Lebesgue measure is integrable according to our definition, and in this case our integral coincides with...
On the Integration of Radon Measures and Set Functions.
On the Kurzweil integral for functions with values in ordered spaces. II.
On the lattice group valued measures
On the lattice group valued submeasures
On the measurability of the conjugate and the subdifferential of a normal integrand.
On the motivic measure on the space of functions.
On the product of operator valued measures
On the Product of Vector Measures with Values in Semiordered Spaces
On the properties of the Aumann integral with applications to differential inclusions and control systems
On the range of semigroup valued measures.
On the Rockafellar theorem for -monotone multifunctions
Let X be an arbitrary set, and γ: X × X → ℝ any function. Let Φ be a family of real-valued functions defined on X. Let be a cyclic -monotone multifunction with non-empty values. It is shown that the following generalization of the Rockafellar theorem holds. There is a function f: X → ℝ such that Γ is contained in the -subdifferential of f, .
On the search for Borel selections
On the space of vector-valued functions integrable with respect to the white noise
On the strong McShane integral of functions with values in a Banach space
The classical Bochner integral is compared with the McShane concept of integration based on Riemann type integral sums. It turns out that the Bochner integrable functions form a proper subclass of the set of functions which are McShane integrable provided the Banach space to which the values of functions belong is infinite-dimensional. The Bochner integrable functions are characterized by using gauge techniques. The situation is different in the case of finite-dimensional valued vector functions....
On the structure of a vector measure.
On transition multimeasures with values in a Banach space
On various notions of regularity in ordered spaces
On vector lattice-valued measures. I.