Mesures généralisées invariantes
Mesures vectorielles et partitions continues de l'unité
Metric domains, holomorphic mappings and nonlinear semigroups.
M-ideals of homogeneous polynomials
We study the problem of whether , the space of n-homogeneous polynomials which are weakly continuous on bounded sets, is an M-ideal in the space (ⁿE) of continuous n-homogeneous polynomials. We obtain conditions that ensure this fact and present some examples. We prove that if is an M-ideal in (ⁿE), then coincides with (n-homogeneous polynomials that are weakly continuous on bounded sets at 0). We introduce a polynomial version of property (M) and derive that if and (E) is an M-ideal in...
Moment Sequences in Locally Convex Spaces.
Moments of Measures on Banach Spaces.
Moments of vector measures and Pettis integrable functions
Conditions, under which the elements of a locally convex vector space are the moments of a regular vector-valued measure and of a Pettis integrable function, both with values in a locally convex vector space, are investigated.
Monoidwertige Integrale
Monotone and convex -algebra valued functions.
Montel and reflexive preduals of spaces of holomorphic functions on Fréchet spaces
For U open in a locally convex space E it is shown in [31] that there is a complete locally convex space G(U) such that . Here, we assume U is balanced open in a Fréchet space and give necessary and sufficient conditions for G(U) to be Montel and reflexive. These results give an insight into the relationship between the and topologies on ℋ (U).
Multilinear Hölder-type inequalities on Lorentz sequence spaces
We establish Hölder-type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals.
Multilinear integration of bounded scalar valued functions
Multilinear operators on spaces
Given Banach spaces , and a compact Hausdorff space , we use polymeasures to give necessary conditions for a multilinear operator from into to be completely continuous (resp. unconditionally converging). We deduce necessary and sufficient conditions for to have the Schur property (resp. to contain no copy of ), and for to be scattered. This extends results concerning linear operators.
Near isometries of spaces of weak * continuous functions, with an application to Bochner spaces
Negative results on the Nash-Moser theorem for Köthe sequences spaces and for spaces of ultradifferentiable functions.
New extension of the variational McShane integral of vector-valued functions
We define the Hake-variational McShane integral of Banach space valued functions defined on an open and bounded subset of -dimensional Euclidean space . It is a “natural” extension of the variational McShane integral (the strong McShane integral) from -dimensional closed non-degenerate intervals to open and bounded subsets of . We will show a theorem that characterizes the Hake-variational McShane integral in terms of the variational McShane integral. This theorem reduces the study of our...
New Gaussian Estimates for Enlarged Balls.
New topological measures on the torus
Recently Entov and Polterovich asked if the Grubb measure was the only symplectic topological measure on the torus. Much to our surprise we discovered a whole new class of intrinsic simple topological measures on the torus, many of which were symplectic.
Nondifferentiable functions, Haar null sets and Wiener measure
Non-linear eigenvalue problems and bifurcations for differentiable multivalued maps