Categorical differential calculus for infinite dimensional spaces
Characterization of nuclear Fréchet spaces in which every bounded set is polar
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.
Classes du type Sobolev
Closed spectral measures in Fréchet spaces.
Compact homomorphisms between algebras of analytic functions
We prove that every weakly compact multiplicative linear continuous map from into is compact. We also give an example which shows that this is not generally true for uniform algebras. Finally, we characterize the spectra of compact composition operators acting on the uniform algebra , where is the open unit ball of an infinite-dimensional Banach space E.
Compact operators on Orlicz spaces
Compact polynomials between Banach spaces.
Compact sets of tight measures
Compactly epi-Lipschitzian convex sets and functions in normed spaces.
Compactness and weak compactness of gradient maps
Compactness in L¹ of a vector measure
We study compactness and related topological properties in the space L¹(m) of a Banach space valued measure m when the natural topologies associated to convergence of vector valued integrals are considered. The resulting topological spaces are shown to be angelic and the relationship of compactness and equi-integrability is explored. A natural norming subset of the dual unit ball of L¹(m) appears in our discussion and we study when it is a boundary. The (almost) complete continuity of the integration...
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
Compct polynomials on non-Archimedean Banach spaces
Complementation in spaces of symmetric tensor products and polynomials
For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.
Complementation in spaces of symmetric tensor products and polynomials.
Our aim here is to announce some properties of complementation for spaces of symmetric tensor products and homogeneous continuous polynomials on a locally convex space E that have, in particular, consequences in the study of the property (BB)n,s recently introduced by Dineen [8].
Complete holomorphic vector fields on the second dual of Banach space.