Der Fixpunktsatz in Funktionalraümen
Der Generator stark stetiger Verbandshalbgruppen auf C (X) und dessen Spektrum.
Der Konjugiertenoperator auf rearrangement-invarianten Funktionenräumen.
Der „Satz von der gleichmässigen Beschranktheit‟ für eine Klasse nichtlinearer Operatoren
Der spektrale Abbildungssatz für nichtanalytische Funktionalkalküle in mehreren Veränderlichen.
Dérivabilité du plus grand exposant caractéristique des produits de matrices aléatoires indépendantes à coefficients positifs
Derivations, dynamical systems, and spectral restrictions.
Derivations in Banach algebras.
Derivations into iterated duals of Banach algebras
We introduce two new notions of amenability for a Banach algebra A. The algebra A is n-weakly amenable (for n ∈ ℕ) if the first continuous cohomology group of A with coefficients in the n th dual space is zero; i.e., . Further, A is permanently weakly amenable if A is n-weakly amenable for each n ∈ ℕ. We begin by examining the relations between m-weak amenability and n-weak amenability for distinct m,n ∈ ℕ. We then examine when Banach algebras in various classes are n-weakly amenable; we study...
Derivations mapping into the socle, III
Let A be a Banach algebra, and let d: A → A be a continuous derivation such that each element in the range of d has a finite spectrum. In a series of papers it has been proved that such a derivation is an inner derivation implemented by an element from the socle modulo the radical of A (a precise formulation of this statement can be found in the Introduction). The aim of this paper is twofold: we extend this result to the case where d is not necessarily continuous, and we give a complete description...
Derivations of certain operator algebras.
Derivations of Nest Algebras.
Derivations of quasi -algebras.
Derivations on Banach algebras.
Derivations on noncommutative Banach algebras
We discuss range inclusion results for derivations on noncommutative Banach algebras from the point of view of ring theory.
Derivative and antiderivative operators and the size of complex domains
We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.
Derivative of the norm of a linear mapping and its application to differential equations
In this paper the notion of the derivative of the norm of a linear mapping in a normed vector space is introduced. The fundamental properties of the derivative of the norm are established. Using these properties, linear differential equations in a Banach space are studied and lower and upper estimates of the norms of their solutions are derived.
Des produits de Riesz comme mesures spectrales
Desch-Schappacher perturbation theorem for -semigroups on the dual of a Banach space.
Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire