À propos du calcul différentiel sur les groupes quantiques
A propos d'un probleme de Klee sur la seperation de plusieurs ensembles.
À propos d'une question posée par V. Klee
Nous répondons par la négative à une question posée par Klee (Mathematical Note no 599, Boeing Scientific Research Laboratories, p.29).
A proximal point method for nonsmooth convex optimization problems in Banach spaces.
A Pythagorean approach in Banach spaces.
A quantitative refinement of the closed graph theorem
A quantitative version of Krein's theorem.
A quantitative version of Krein's Theorem on convex hulls of weak compact sets is proved. Some applications to weakly compactly generated Banach spaces are given.
A quantitative version of the converse Taylor theorem: -smoothness
We prove a uniform version of the converse Taylor theorem in infinite-dimensional spaces with an explicit relation between the moduli of continuity for mappings on a general open domain. We show that if the domain is convex and bounded, then we can extend the estimate up to the boundary.
A quantum particle in a quadrupole radio-frequency trap
A quasi-dichotomy for C(α,X) spaces, α < ω₁
We prove the following quasi-dichotomy involving the Banach spaces C(α,X) of all X-valued continuous functions defined on the interval [0,α] of ordinals and endowed with the supremum norm. Suppose that X and Y are arbitrary Banach spaces of finite cotype. Then at least one of the following statements is true. (1) There exists a finite ordinal n such that either C(n,X) contains a copy of Y, or C(n,Y) contains a copy of X. (2) For any infinite countable...
A quick and simple proof of Sherman's theorem on order in -algebras.
-condition for two weight functions and compact imbeddings of weighted Sobolev spaces
A -range and φ- spatial Numerical range of a Tensor
A real inversion formula for the Laplace transform in a Sobolev space.
A real variable characterization of
A recursion formula for the moments of the gaussian orthogonal ensemble
We present an analogue of the Harer–Zagier recursion formula for the moments of the gaussian Orthogonal Ensemble in the form of a five term recurrence equation. The proof is based on simple gaussian integration by parts and differential equations on Laplace transforms. A similar recursion formula holds for the gaussian Symplectic Ensemble. As in the complex case, the result is interpreted as a recursion formula for the number of 1-vertex maps in locally orientable surfaces with a given number of...
A Reduction of the Strong Lifting Problem.
A Re-Examination of the Roberts Example of a Compact Convex Set Without Extreme Points.
A refinement of Ball's theorem on Young measures.
A refinement of Hölder's inequality and applications.