Conditions for two self-adjoint operators to commute or to satisfy the Weyl relation.
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.
Cônes symplectiques et opérateurs de Toeplitz
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...
Connection between the algebra of kernels on the sphere and the Volterra algebra on the one-sheeted hyperboloid : holomorphic “perikernels”
Consequences of the existence of a non-compact operator between nuclear Köthe spaces.
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.
Constantes de Grothendieck et fonctions de type positif sur les sphères
Constructing non-compact operators into c₀
We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
Constructing One-Parameter Transformations on White Noise Functions in Terms of Equicontinuous Generators.
Construction of Non-Linear Local Quantum Processes.
Continuite lipschitzienne du spectre comme fonction d'un opérateur normal
Continuité sur les espaces de Besov des opérateurs définis par des intégrales singulières
On donne un critère très simple de continuité des opérateurs définis par des intégrales singulières sur les espaces de Besov homogènes pour . Quelques exemples, utilisant notamment l’opérateur de paraproduit, illustrent ensuite l’emploi de ce critère.
Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières
Continuity for some multilinear operators of integral operators on Triebel-Lizorkin spaces.
Continuity of derivations on semi-prime Banach algebras.
Continuity of generalized inverses in Banach algebras
The main topic of the paper is the continuity of several kinds of generalized inversion of elements in a Banach algebra with identity. We introduce the notion of asymptotic generalized invertibility and completely characterize sequences of elements with this property. Based on this result, we derive continuity criteria which generalize the well known criteria from operator theory.
Continuity of multilinear operators in weighted Herz spaces with extreme exponents.
Continuity of operators on Saks spaces