Remarks on similarity and quasisimilarity of operators
Remarks on symmetries of trilinear forms.
Remarks on the differentiability of mappings in linear normed spaces
Remarks on the spectrum of bounded and normal operators on Hilbert spaces.
Remarques sur la structure interne des composantes connexes semi-Fredholm
Soit C(X,Y) l’ensemble des opérateurs fermés à domaines denses dans l’espace de Banach X à valeurs dans l’espace de Banach Y, muni de la métrique du gap. Soit et , où α (T) est la dimension du noyau de T. Nous montrons que est un ouvert de (et donc ouvert dans C(X,Y)) et que est dense dans . Nous déduisons quelques résultats de densités. A la fin de se travail nous donnons un exemple d’espace de Banach X tel que, d’une part, n’est pas connexe dans B(X) et d’autre part, l’ensemble des...
Remarques sur l'hypercontractivité et l'évolution de l'entropie pour des chaînes de Markov finies
Renormalized solutions for nonlinear degenerate elliptic problems with L1 data.
Répartition et ergodicité
Representation and duality of multiplication operators on archimedean Riesz spaces
Representation formulae for (C₀) m-parameter operator semigroups
Some general representation formulae for (C₀) m-parameter operator semigroups with rates of convergence are obtained by the probabilistic approach and multiplier enlargement method. These cover all known representation formulae for (C₀) one- and m-parameter operator semigroups as special cases. When we consider special semigroups we recover well-known convergence theorems for multivariate approximation operators.
Representation generated by a finite number of Hilbert space operators
Représentations d'applications linéaires par des noyaux généralisés
Representations for the Drazin inverse of bounded operators on Banach space.
Representations of groups on eigenspaces of invariant differential operators
Representations of H...(G) and invariant subspaces.
Representations of Polish groups and continuity
In the first part of the paper, some criteria of continuity of representations of a Polish group in a Banach algebra are given. The second part uses the result of the first part to deduce automatic continuity results of Baire morphisms from Polish groups to locally compact groups or unitary groups. In the final part, the spectrum of an element in the range of a strongly but not norm continuous representation is described.
Representations of semigroups and extension of invariant linear functionals.
Representing non-weakly compact operators
For each S ∈ L(E) (with E a Banach space) the operator R(S) ∈ L(E**/E) is defined by R(S)(x** + E) = S**x** + E(x** ∈ E**). We study mapping properties of the correspondence S → R(S), which provides a representation R of the weak Calkin algebra L(E)/W(E) (here W(E) denotes the weakly compact operators on E). Our results display strongly varying behaviour of R. For instance, there are no non-zero compact operators in Im(R) in the case of and C(0,1), but R(L(E)/W(E)) identifies isometrically with...
Reproduzierende Kerne, Fundamentalkerne und Resolventenkerne.
Resoluciones proyectivas del operador identidad y bases de Markushevich en ciertos espacios de Banach.