Integral representations of resolvents and semigroups.
Integral transforms of vector measures on semigroups with applications to spectral operators.
Intégrales de résolvantes et calcul symbolique
Soit une transformée de Stieltjes. Notant un prolongement de la fonction à , on définit, pour tout espace de Banach et pour tout opérateur sur qui soit de domaine dense, fermé, d’ensemble résolvant contenant et qui vérifie , un opérateur qui est un opérateur sur de même nature que . On montre que l’on a (où désigne le spectre étendu). En outre, l’opération a d’excellentes propriétés de stabilité. En particulier, si et si est un potentiel abstrait, est un potentiel...
Intégrales singulières, opérateurs multilinéaires et équations aux dérivées partielles
Interchangeability of unbounded linear operators: General theory of transmutativity
Interpolation by elementary operators
Given two n-tuples and of bounded linear operators on a Hilbert space the question of when there exists an elementary operator E such that for all j =1,...,n, is studied. The analogous question for left multiplications (instead of elementary operators) is answered in any C*-algebra A, as a consequence of the characterization of closed left A-submodules in .
Interpolation functions of several matrix variables.
Interpolation linéaire associée à un générateur de semi-groupe intégré
Interpolation of Operator Ideals with an Application to Eigenvalue Distribution Problems.
Interpolation of the essential spectrum and the essential norm
The behavior of the essential spectrum and the essential norm under (complex/real) interpolation is investigated. We extend an example of Albrecht and Müller for the spectrum by showing that in complex interpolation the essential spectrum of an interpolated operator is also in general a discontinuous map of the parameter θ. We discuss the logarithmic convexity (up to a multiplicative constant) of the essential norm under real interpolation, and show that this holds provided certain compact approximation...
Intertwining methods in the problem of inverse scattering
Intertwining operators
Interval Exchange Transformations.
Invariance of Essential Spectra.
Invariance of the Fredholm radius of the Neumann operator
Invariance properties of an operator product involving generalized inverses.
Invariant functions for positive operators on normed Köthe spaces
Invariant measures for iterated function systems
A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.
Invariant measures for Markov operators with application to function systems
A new sufficient condition for the existence of an invariant measure for Markov operators defined on Polish spaces is presented. This criterion is applied to iterated function systems.