Continuité et différentiabilité des translations dans un espace Gaussien.
Continuity and differentiability properties of nonlinear operators
Continuity of operators on Saks spaces
Continuous extensions of spectral measures
Continuous factorizations of covariance operators and Gaussian processes
Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection is finite and proper, then has a right inverse
Continuous linear functionals on the space of Borel vector measures
We study properties of the space ℳ of Borel vector measures on a compact metric space X, taking values in a Banach space E. The space ℳ is equipped with the Fortet-Mourier norm and the semivariation norm ||·||(X). The integral introduced by K. Baron and A. Lasota plays the most important role in the paper. Investigating its properties one can prove that in most cases the space is contained in but not equal to the space (ℳ,||·||(X))*. We obtain a representation of the continuous functionals on...
Continuous Reinhardt domains from a Jordan viewpoint
As a natural extension of bounded complete Reinhardt domains in to spaces of continuous functions, continuous Reinhardt domains (CRD) are bounded open connected solid sets in commutative C*-algebras with respect to the natural ordering. We give a complete parametric description for the structure of holomorphic isomorphisms between CRDs and characterize the partial Jordan triple structures which can be associated with some CRDs. On the basis of these results, we test two conjectures concerning...
Controlled convergence theorems for Henstock-Kurzweil-Pettis integral on -dimensional compact intervals
In this paper we use a generalized version of absolute continuity defined by J. Kurzweil, J. Jarník, Equiintegrability and controlled convergence of Perron-type integrable functions, Real Anal. Exch. 17 (1992), 110–139. By applying uniformly this generalized version of absolute continuity to the primitives of the Henstock-Kurzweil-Pettis integrable functions, we obtain controlled convergence theorems for the Henstock-Kurzweil-Pettis integral. First, we present a controlled convergence theorem for...
Convergence des martingales pluri-sous-harmoniques vectorielles à deux indices
Convergence of derivations on nearest algebras.
Convergence theorems for Banach space valued integrable multifunctions.
Convergence theorems for measures with values in Riesz spaces
In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in -groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.
Convergence theorems for the Birkhoff integral
We give sufficient conditions for the interchange of the operations of limit and the Birkhoff integral for a sequence of functions from a measure space to a Banach space. In one result the equi-integrability of ’s is involved and we assume almost everywhere. The other result resembles the Lebesgue dominated convergence theorem where the almost uniform convergence of to is assumed.
Convex functions with non-Borel set of Gâteaux differentiability points
We show that on every nonseparable Banach space which has a fundamental system (e.gȯn every nonseparable weakly compactly generated space, in particular on every nonseparable Hilbert space) there is a convex continuous function such that the set of its Gâteaux differentiability points is not Borel. Thereby we answer a question of J. Rainwater (1990) and extend, in the same time, a former result of M. Talagrand (1979), who gave an example of such a function on .
Convexités dans les espaces vectoriels topologiques généraux [Book]
Convexity in complex analysis
Convexity of measures in certain convex cones in vector space ...-algebras.
Convolution operators in infinite dimension.
Convolution operators on the space of holomorphic germs of nuclear type