The Trace to the Boundary of Sobolev spaces on a snowflake.
The trilinear embedding theorem
Let , i = 1,2,3, denote positive Borel measures on ℝⁿ, let denote the usual collection of dyadic cubes in ℝⁿ and let K: → [0,∞) be a map. We give a characterization of a trilinear embedding theorem, that is, of the inequality in terms of a discrete Wolff potential and Sawyer’s checking condition, when 1 < p₁,p₂,p₃ < ∞ and 1/p₁ + 1/p₂ + 1/p₃ ≥ 1.
The triple-norm extension problem: the nondegenerate complete case.
We prove that, if A is an associative algebra with two commuting involutions τ and π, if A is a τ-π-tight envelope of the Jordan Triple System T:=H(A,τ) ∩ S(A,π), and if T is nondegenerate, then every complete norm on T making the triple product continuous is equivalent to the restriction to T of an algebra norm on A.
The Tsirelson space has a unique unconditional basis up to permutation for .
The Type of Group Measure Space von Neumann Algebras.
The ultra-distributions of exponential type of J. Sebastião e Silva
The uncomplemented subspace K(E,F)
The unconditional pointwise convergence of orthogonal seriesin over a von Neumann algebra
The paper is devoted to some problems concerning a convergence of pointwise type in the -space over a von Neumann algebra M with a faithful normal state Φ [3]. Here is the completion of M under the norm .
The Uniform Algebra Generated by z and a Smooth Even Function.
The uniform bounded approximation property with respect to the Haar basis
The uniform boundedness principle for order bounded operators.
The uniform classification of boundedly compact locally convex spaces
The uniform norming of retractions on short intervals for certain function spaces.
The uniform zero-two law for positive operators in Banach lattices
The Unique Extremal QC Mapping and Uniqueness of Hahn-Banach Extensions
The unit ball of every infinite-dimensional normed linear space contains a (1+ɛ)-separated sequence
The unitary implementation of a measured quantum groupoid action
Mimicking the von Neumann version of Kustermans and Vaes’ locally compact quantum groups, Franck Lesieur had introduced a notion of measured quantum groupoid, in the setting of von Neumann algebras. In a former article, the author had introduced the notions of actions, crossed-product, dual actions of a measured quantum groupoid; a biduality theorem for actions has been proved. This article continues that program: we prove the existence of a standard implementation for an action, and a biduality...
The universal Banach space with a -suppression unconditional basis
Using the technique of Fraïssé theory, for every constant , we construct a universal object in the class of Banach spaces possessing a normalized -suppression unconditional Schauder basis.
The universal right K-property for some interpolation spaces
The universal separable metric space of Urysohn and isometric embeddings thereof in Вanach spaces
This paper is an investigation of the universal separable metric space up to isometry U discovered by Urysohn. A concrete construction of U as a metric subspace of the space C[0,1] of functions from [0,1] to the reals with the supremum metric is given. An answer is given to a question of Sierpiński on isometric embeddings of U in C[0,1]. It is shown that the closed linear span of an isometric copy of U in a Banach space which contains the zero of the Banach space is determined up to linear isometry....