On Henstock-Dunford and Henstock-Pettis integrals.
On homomorphisms of projective lattices in complex Hilbert spaces
On integration and the Radon-Nikodym theorem in quasicomplete locally convex topological vector spaces.
On integration in Banach spaces, I
On integration in Banach spaces, III
On integration in Banach spaces, IV
On integration in Banach spaces, IX. Integration with respect to polymeasures
On integration in Banach spaces, V
On integration in Banach spaces, VI
On integration in Banach spaces, VII
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 Kurzweil-Stieltjes integral in a Banach space
In the paper we deal with the Kurzweil-Stieltjes integration of functions having values in a Banach space We extend results obtained by Štefan Schwabik and complete the theory so that it will be well applicable to prove results on the continuous dependence of solutions to generalized linear differential equations in a Banach space. By Schwabik, the integral exists if has a bounded semi-variation on and is regulated on We prove that this integral has sense also if is regulated on ...
On Lebesgue measurability of Henstock-Kurzweil integrable functions.
On Pettis integrability
Assuming that is a complete probability space and a Banach space, in this paper we investigate the problem of the -inheritance of certain copies of or in the linear space of all [classes of] -valued -weakly measurable Pettis integrable functions equipped with the usual semivariation norm.