Capacitylike Set Functions and Upper Envelopes of Measures.
Carathéodory's selections for multifunctions with non-separable range
Characterization of Fourier Transforms of Vector Valued Functions and Measures
Characterization of Strongly Exposed Points in General Köthe-Bochner Banach Spaces
We study strongly exposed points in general Köthe-Bochner Banach spaces X(E). We first give a characterization of strongly exposed points of the set of X-selections of a measurable multifunction Γ. We then apply this result to the study of strongly exposed points of the closed unit ball of X(E). Precisely we show that if an element f is a strongly exposed point of , then |f| is a strongly exposed point of and f(ω)/∥ f(ω)∥ is a strongly exposed point of for μ-almost all ω ∈ S(f).
Characterization of strongly exposed points in .
Characterizations of Kurzweil-Henstock-Pettis integrable functions
We prove that several results of Talagrand proved for the Pettis integral also hold for the Kurzweil-Henstock-Pettis integral. In particular the Kurzweil-Henstock-Pettis integrability can be characterized by cores of the functions and by properties of suitable operators defined by integrands.
Classical hierarchies from a modern standpoint. Part I. C-sets
CM-selectors for pairs of oppositely semicontinuous multifunctions and some applications to strongly nonlinear inclusions.
Common extension of a family of group-valued, finitely additive measures
Common extensions of positive vector measures
Compact operators on Orlicz spaces
Compactness and convergence of set-valued measures
We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.
Compactness in spaces of uniform measures (Preliminary communication)
Compactness of the integration operator associated with a vector measure
A characterization is given of those Banach-space-valued vector measures m with finite variation whose associated integration operator Iₘ: f ↦ ∫fdm is compact as a linear map from L¹(m) into the Banach space. Moreover, in every infinite-dimensional Banach space there exist nontrivial vector measures m (with finite variation) such that Iₘ is compact, and other m (still with finite variation) such that Iₘ is not compact. If m has infinite variation, then Iₘ is never compact.
Compactness properties of the integration mapassociated with a vector measure
Compactness properties of vector-valued integration maps in locally convex spaces
Complete Spaces and Zero-One Measures.
Compositions of operators with vector valued maps
Conical measures and properties of a vector measure determined by its range
We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...
Conical measures and vector measures
Every conical measure on a weak complete space is represented as integration with respect to a -additive measure on the cylindrical -algebra in . The connection between conical measures on and -valued measures gives then some sufficient conditions for the representing measure to be finite.