Cone-constrained linear equations in Banach spaces.
Cones and error bounds for linear iterations.
Cones contained in a Banach space and factorization of positive operators defined on its dual with values in a space L1.
Cones in tensor products of ordered Banach spaces.
Cônes symplectiques et opérateurs de Toeplitz
(Conférence n°1) Applications -sommantes, pour réel , et démonstration d’une conjecture de Pietsch
(Conférence n°1) Applications -sommantes, pour réel , et démonstration d’une conjecture de Pietsch
(Conférence n°2) Une propriété caractéristique des processus linéaires continus. Applications aux opérateurs -radonifiants
(Conférence n°2) Une propriété caractéristique des processus linéaires continus. Applications aux opérateurs -radonifiants
Configuration space properties of the scattering operator and time delay for potentials decaying like
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...
Conjugacies between ergodic transformations and their inverses
We study certain symmetries that arise when automorphisms S and T defined on a Lebesgue probability space (X, ℱ, μ) satisfy the equation . In an earlier paper [6] it was shown that this puts certain constraints on the spectrum of T. Here we show that it also forces constraints on the spectrum of . In particular, has to have a multiplicity function which only takes even values on the orthogonal complement of the subspace . For S and T ergodic satisfying this equation further constraints arise,...
Conley index in Hilbert spaces and a problem of Angenent and van der Vorst
In a recent paper [9] we presented a Galerkin-type Conley index theory for certain classes of infinite-dimensional ODEs without the uniqueness property of the Cauchy problem. In this paper we show how to apply this theory to strongly indefinite elliptic systems. More specifically, we study the elliptic system in Ω, in Ω, u = 0, v = 0 in ∂Ω, (A1) on a smooth bounded domain Ω in for "-"-type Hamiltonians H of class C² satisfying subcritical growth assumptions on their first order derivatives....
Connectedness and compactness of weak efficient solutions for set-valued vector equilibrium problems.
Connection between the algebra of kernels on the sphere and the Volterra algebra on the one-sheeted hyperboloid : holomorphic “perikernels”
Connections between some measures of non-compactness and associated operators.
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the δ-separation of the points of a set are studied in special classes of Banach spaces. These relations are applied to compare operators which are contractive for these measures.
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.
Consequences of the existence of a non-compact operator between nuclear Köthe spaces.
Consistency of the LSE in Linear regression with stationary noise
We obtain conditions for L₂ and strong consistency of the least square estimators of the coefficients in a multi-linear regression model with a stationary random noise. For given non-random regressors, we obtain conditions which ensure L₂-consistency for all wide sense stationary noise sequences with spectral measure in a given class. The condition for the class of all noises with continuous (i.e., atomless) spectral measures yields also -consistency when the noise is strict sense stationary with...
Consistent models for electrical networks with distributed parameters
A system of one-dimensional linear parabolic equations coupled by boundary conditions which include additional state variables, is considered. This system describes an electric circuit with distributed parameter lines and lumped capacitors all connected through a resistive multiport. By using the monotony in a space of the form , one proves the existence and uniqueness of a variational solution, if reasonable engineering hypotheses are fulfilled.