An integral representation of randomized probabilities and its applications
An internal characterization of G-spaces
An interplay between the weak form of Peano's theorem and structural aspects of Banach spaces
We establish some results that concern the Cauchy-Peano problem in Banach spaces. We first prove that a Banach space contains a nontrivial separable quotient iff its dual admits a weak*-transfinite Schauder frame. We then use this to recover some previous results on quotient spaces. In particular, by applying a recent result of Hájek-Johanis, we find a new perspective for proving the failure of the weak form of Peano's theorem in general Banach spaces. Next, we study a kind of algebraic genericity...
An interpolation inequality in exterior domains
An interpolation inequality involving Hölder norms.
An interpolation theorem with -weighted spaces
An interpolatory estimate for the UMD-valued directional Haar projection [Book]
An Intersection Property of Balls and Relations with M-Ideals.
An intrinsic definition of the Colombeau generalized functions
A slight modification of the definition of the Colombeau generalized functions allows to have a canonical embedding of the space of the distributions into the space of the generalized functions on a manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.
An IntroduCtion into the Theory of Sequence Spaces and Measures of Noncompactness
An introduction to polynomials on Banach spaces.
An invariant subspace of the Bergman space having the codimension two property.
An inverse function theorem for Frechet spaces
An inverse function theorem in Fréchet spaces without smoothing operators
An inverse problem for time-harmonic electromagnetic currents in a smoothly layered medium.
An inversion formula and a note on the Riesz kernel
For potentials , where and are certain Schwartz distributions, an inversion formula for is derived. Convolutions and Fourier transforms of distributions in -spaces are used. It is shown that the equilibrium distribution with respect to the Riesz kernel of order , , of a compact subset of has the following property: its restriction to the interior of is an absolutely continuous measure with analytic density which is expressed by an explicit formula.
An Inversion Formula for the Distributional H-Transformation.
An isomorphic Banach-Stone theorem
An isomorphic characterization of the Schmidt class
An Isomorphic Classification of Spaces
We present an extension of the classical isomorphic classification of the Banach spaces C([0,α]) of all real continuous functions defined on the nondenumerable intervals of ordinals [0,α]. As an application, we establish the isomorphic classification of the Banach spaces of all real continuous functions defined on the compact spaces , the topological product of the Cantor cubes with smaller than the first sequential cardinal, and intervals of ordinal numbers [0,α]. Consequently, it is relatively...