Conditionally positive definite functions on linear spaces
Conditions de bornitude et espaces de fonctions mesurables
Conditions equivalent to C* independence
Let and be mutually commuting unital C* subalgebras of (). It is shown that and are C* independent if and only if for all natural numbers n, m, for all n-tuples A = (A₁, ..., Aₙ) of doubly commuting nonzero operators of and m-tuples B = (B₁, ..., Bₘ) of doubly commuting nonzero operators of , , where Sp denotes the joint Taylor spectrum.
Conditions implying regularity of the three dimensional Navier-Stokes equation
We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam.
Cônes asymptotes d'ensembles non convexes
Cones contained in a Banach space and factorization of positive operators defined on its dual with values in a space L1.
Cônes convexes semi-réticulés de fonctions continues. Théorèmes de représentation et de stabilité
Cônes engendrés par un compact étoilé ou convexe, applications à l'analyse.
Cones in tensor products of ordered Banach spaces.
Cones of Lower Semicontinuous Functions and a Characterisation of Finely Hyperharmonic Functions.
Configuration space properties of the S-matrix and time delay in potential scattering
Confining quantum particles with a purely magnetic field
We consider a Schrödinger operator with a magnetic field (and no electric field) on a domain in the Euclidean space with a compact boundary. We give sufficient conditions on the behaviour of the magnetic field near the boundary which guarantees essential self-adjointness of this operator. From the physical point of view, it means that the quantum particle is confined in the domain by the magnetic field. We construct examples in the case where the boundary is smooth as well as for polytopes; These...
Conical Fourier-Borel transformations for harmonic functionals on the Lie ball
Let L(z) be the Lie norm on and L*(z) the dual Lie norm. We denote by the space of complex harmonic functions on the open Lie ball and by the space of entire harmonic functions of exponential type (A,L*). A continuous linear functional on these spaces will be called a harmonic functional or an entire harmonic functional. We shall study the conical Fourier-Borel transformations on the spaces of harmonic functionals or entire harmonic functionals.
Conical measures and properties of a vector measure determined by its range
We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...
Conjugation in spinor spaces Majorana and Weyl spinors
Conjuntos estrictamente aproximadamente compactos en un espacio normado.
Connected subgroups of nuclear spaces
Connectedness of Certain Subsets of Locally Convex Spaces.
Connectedness properties of the range of vector and semimeasures.
Connes amenability-like properties
We introduce and study the notions of w*-approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We prove that the dual Banach sequence algebra ℓ¹ is not w*-approximately Connes amenable. We show that in general the concepts of pseudo-Connes amenability and Connes amenability are distinct. Moreover the relations between these new notions are also discussed.