On the dual space .
On the dual space of
On the Dunford-Pettis property
On the extension of positive operators
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 limitations of the Grothendieck techniques.
On the modulus of measures with values in topological Riesz spaces.
The paper is devoted to a study of some aspects of the theory of (topological) Riesz space valued measures. The main topics considered are the following. First, the problem of existence (and, particularly, the so-called proper existence) of the modulus of an order bounded measure, and its relation to a similar problem for the induced integral operator. Second, the question of how properties of such a measure like countable additivity, exhaustivity or so-called absolute exhaustivity, or the properties...
On the product of operator valued measures
On the Projective Tensor Product of Vector-Valued Measures. II.
On the space of vector-valued functions integrable with respect to the white noise
On the Strict Topology in the Locally Convex Setting.
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 vector measures
Let be the Banach space of real measures on a -ring , let be its dual, let be a quasi-complete locally convex space, let be its dual, and let be an -valued measure on . If is shown that for any there exists an element of such that for any and that the mapis order continuous. It follows that the closed convex hull of is weakly compact.
On vector measures and distributions
On Vector Measures in Cartesian Products
On vector measures which have everywhere infinite variation or noncompact range [Book]
On Vitali-Hahn-Saks-Nikodym type theorems
A Boolean algebra has the interpolation property (property (I)) if given sequences , in with for all , there exists an element in such that for all . Let denote an algebra with the property (I). It is shown that if ( a Banach space) is a sequence of strongly additive measures such that exists for each , then defines a strongly additive map from to and the are uniformly strongly additive. The Vitali-Hahn-Saks (VHS) theorem for strongly additive -valued measures defined...