A simple proof of the continuity of the higher order Riesz transforms with respect to the gaussian measure
A simple proof of the logarithmic Sobolev inequality on the circle
A simple proof of the Stone-Weierstrass theorem for CCR-algebras with Hausdorff spectrum.
A simple proof of two theorems concerning bases of
A simplification in the proof of the non-isomorphism between H¹(δ) and H¹(δ²)
The proof that H¹(δ) and H¹(δ²) are not isomorphic is simplified. This is done by giving a new and simple proof to a martingale inequality of J. Bourgain.
A simplified proof of the Daniell integral extension theorem in ordered spaces
A simultaneous selection theorem
We prove a theorem that generalizes in a way both Michael's Selection Theorem and Dugundji's Simultaneous Extension Theorem. We use it to prove that if K is an uncountable compact metric space and X a Banach space, then C(K,X) is isomorphic to C(𝓒,X) where 𝓒 denotes the Cantor set. For X = ℝ, this gives the well known Milyutin Theorem.
A Singular Convolution Equation In The Space Of Distributions
A Singular Convolution Equation In The Space Of Distributions II
A singular convolution equation in the space of distributions.
A singular convolution equation in the space of distribution. II.
A skeleton of Fubini-type theorem in vector spaces for the Kurzweil integral and operator measures
A solution of the Cauchy problem in the class of absolutely continuous distribution-valued functions.
A Solution to a Problem of de Wilde and Tsirulnikov.
A solution to a problem of De Wilde - Tsirulnikov
A solution to the delta operator-problem for holomorphic (0,q)-forms, q ≥ 1, on a complex normed space.
A space C(K) where all nontrivial complemented subspaces have big densities
Using the method of forcing we prove that consistently there is a Banach space (of continuous functions on a totally disconnected compact Hausdorff space) of density κ bigger than the continuum where all operators are multiplications by a continuous function plus a weakly compact operator and which has no infinite-dimensional complemented subspaces of density continuum or smaller. In particular no separable infinite-dimensional subspace has a complemented superspace of density continuum or smaller,...
A space of generalized distributions
In this paper we use a duality method to introduce a new space of generalized distributions. This method is exactly the same introduced by Schwartz for the distribution theory. Our space of generalized distributions contains all the Schwartz distributions and all the multipole series of physicists and is, in a certain sense, the smallest space containing all these series.
A space of Vector-Valued measures and a strict topology.
A Spatial Characterization of ... Conditional Expectations on von Neumann Algebras.