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 local derivatives
On Mackey's Imprimitivity Theorem.
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.
On Pettis integral and Radon measures
Assuming the continuum hypothesis, we construct a universally weakly measurable function from [0,1] into a dual of some weakly compactly generated Banach space, which is not Pettis integrable. This (partially) solves a problem posed by Riddle, Saab and Uhl [13]. We prove two results related to Pettis integration in dual Banach spaces. We also contribute to the problem whether it is consistent that every bounded function which is weakly measurable with respect to some Radon measure is Pettis integrable....
On Pettis integrals with separable range
Several techniques have been developed to study Pettis integrability of weakly measurable functions with values in Banach spaces. As shown by M. Talagrand [Ta], it is fruitful to regard a weakly measurable mapping as a pointwise compact set of measurable functions - its Pettis integrability is then a purely measure-theoretic question of an appropriate continuity of a measure. On the other hand, properties of weakly measurable functions can be translated into the language of topological measure theory...
On representation of linear operators on
On Riemann integration of functions with values in topological linear spaces
On second derivates of convex functions.