Universally weakly inner one-parameter automorphism groups of seperable C*-algebras.
Unordered Baire-like spaces without local convexity.
The aim of the present paper is to study the class of tvs which we define by ommiting the word increasing in the definition of *-suprabarrelled spaces. We prove that the product of Baire tvs is *-UBL and hence the class of *-UBL spaces is stricty larger than the class of Baire spaces.
Unordered Baire-like vector-valued function spaces.
Unsolved nonstandard problems.
Upper and lower estimates for Schauder frames and atomic decompositions
We prove that a Schauder frame for any separable Banach space is shrinking if and only if it has an associated space with a shrinking basis, and that a Schauder frame for any separable Banach space is shrinking and boundedly complete if and only if it has a reflexive associated space. To obtain these results, we prove that the upper and lower estimate theorems for finite-dimensional decompositions of Banach spaces can be extended and modified to Schauder frames. We show as well that if a separable...
Upper and lower estimates in Banach sequence spaces
Here we study the existence of lower and upper -estimates of sequences in some Banach sequence spaces. We also compute the sharp estimates in their basis. Finally, we give some applications to weak sequential continuity of polynomials.
Upper bound for the number of eigenvalues for nonlinear operators (Preliminary communication)
Upper estimates for Gâteaux differentiability of bump functions in Orlicz–Lorentz spaces.
Upper estimates on self-perimeters of unit circles for gauges
Let M² denote a Minkowski plane, i.e., an affine plane whose metric is a gauge induced by a compact convex figure B which, as a unit circle of M², is not necessarily centered at the origin. Hence the self-perimeter of B has two values depending on the orientation of measuring it. We prove that this self-perimeter of B is bounded from above by the four-fold self-diameter of B. In addition, we derive a related non-trivial result on Minkowski planes whose unit circles are quadrangles.
Upper Semi-Continuity of Convex Functions and Openness of Affine Maps.
Using boundaries to find smooth norms
The aim of this paper is to present a tool used to show that certain Banach spaces can be endowed with smooth equivalent norms. The hypothesis uses particular countable decompositions of certain subsets of , namely boundaries. Of interest is that the main result unifies two quite well known results. In the final section, some new corollaries are given.
Utilisation de limites inductives généralisées d'espaces localement convexes
Utilisation des distributions pour l'étude des équations aux dérivées partielles en dimension infinie
Utilisation des opérateurs pseudo-différentiels et des opérateurs trace dans certains problèmes aux limites