Problèmes mathématiques de la théorie quantique des champs
Problèmes mathématiques de la théorie quantique des champs II : prolongement analytique
Problemi inversi, equazioni quasilineari e semigruppi analitici
Problems in Linked Operators. I.
Problems in Linked Operators. II.
Problems on Banach spaces
Problems without initial conditions for degenerate implicit evolution equations.
Proceedings of EQUADIFF 10, Prague, August 27–31, 2001. Preface.
Processus abéliens associés à un semi-groupe.
Product equivalence of quasihomogeneous Toeplitz operators on the harmonic Bergman space
We present here a quite unexpected result: If the product of two quasihomogeneous Toeplitz operators on the harmonic Bergman space is equal to a Toeplitz operator , then the product is also the Toeplitz operator , and hence commutes with . From this we give necessary and sufficient conditions for the product of two Toeplitz operators, one quasihomogeneous and the other monomial, to be a Toeplitz operator.
Product integrals in strongly differentiate power associative groupoids.
Product Integration in Reflexion Banach Spaces.
Product of operators and numerical range preserving maps
Let V be the C*-algebra B(H) of bounded linear operators acting on the Hilbert space H, or the Jordan algebra S(H) of self-adjoint operators in B(H). For a fixed sequence (i₁, ..., iₘ) with i₁, ..., iₘ ∈ 1, ..., k, define a product of by . This includes the usual product and the Jordan triple product A*B = ABA as special cases. Denote the numerical range of A ∈ V by W(A) = (Ax,x): x ∈ H, (x,x) = 1. If there is a unitary operator U and a scalar μ satisfying such that ϕ: V → V has the form A...
Product spaces generated by bilinear maps and duality
In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of functional analysis that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown, regarding pointwise...
Products of commuting nilpotent operators.
Products of composition and differentiation operators from spaces to Bloch-type spaces.
Products of integral-type and composition operators between generally weighted Bloch spaces.
Products of integral-type operators and composition operators from the mixed norm space to Bloch-type spaces.
Products of Toeplitz operators and Hankel operators
We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.
Produits finis de commutateurs dans les -algèbres
Soient une -algèbre approximativement finie simple avec unité, le groupe des inversibles et le groupe des unitaires de . Nous avons défini dans un précédent travail un homomorphisme , appelé déterminant universel de , de sur un groupe abélien associé à . Nous montrons ici que, pour qu’un élément dans ou dans soit produit d’un nombre fini de commutateurs, il (faut et il) suffit que Ceci permet en particulier d’identifier le noyau de la projection canonique On établit aussi...