Contents
Continuation of invariant subspaces via the Recursive Projection Method
The Recursive Projection Method is a technique for continuation of both the steady states and the dominant invariant subspaces. In this paper a modified version of the RPM called projected RPM is proposed. The modification underlines the stabilization effect. In order to improve the poor update of the unstable invariant subspace we have applied subspace iterations preconditioned by Cayley transform. A statement concerning the local convergence of the resulting method is proved. Results of numerical...
Continuation theory for general contractions in gauge spaces.
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
Continuité-Sobolev de certains opérateurs paradifférentiels.
L'objet de ce travail est l'étude de la continuité des opérateurs d'intégrales singulières (au sens de Calderón-Zygmund) sur les espaces de Sobolev Hs. Il complète le travail fondamental de David-Journé [6], concernant le cas s = 0, et ceux de P. G. Lemarié [10] et M. Meyer [11] concernant le cas 0 < s < 1.
Continuity and differentiability properties of nonlinear operators
Continuity and Fréchet-Differentiability of Nemytskij Operators in Hölder Spaces.
Continuity and general perturbation of the Drazin inverse for closed linear operators.
Continuity at zero of semi-groups on L1 and differentiation of additive processes
Continuity, compactness, fixed points, and integral equations.
Continuity for multilinear integral operators on some Hardy and Herz type spaces.
Continuity for some multilinear operators of integral operators on Triebel-Lizorkin spaces.
Continuity for the Littlewood-paley operator and its commutator on Herz type Hardy spaces
Continuity of Calderón-Zygmund operators on the space BMO.
Continuity of derivations on semi-prime Banach algebras.
Continuity of fuzzy multifunctions.
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 hysteresis operators in Sobolev spaces
We prove that the classical Prandtl, Ishlinskii and Preisach hysteresis operators are continuous in Sobolev spaces for , (localy) Lipschitz continuous in and discontinuous in for arbitrary . Examples show that this result is optimal.