Implementation of Jordan-isomorphisms for general von Neumann algebras
Implicit functions from locally convex spaces to Banach spaces
We first generalize the classical implicit function theorem of Hildebrandt and Graves to the case where we have a Keller -map f defined on an open subset of E×F and with values in F, for E an arbitrary Hausdorff locally convex space and F a Banach space. As an application, we prove that under a certain transversality condition the preimage of a submanifold is a submanifold for a map from a Fréchet manifold to a Banach manifold.
Improper integrals of distributions
Improved estimates for the Ginzburg-Landau equation : the elliptic case
We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the -energy and the parameter . These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.
Improved Sobolev embedding theorem
Improvement of Jensen-Steffensen's inequality for superquadratic functions.
In a Nonreflexive Space the Subdifferential is Not Onto.
In non-locally bounded -spaces the norm is not almost transitive
In search of the invisible spectrum
In this paper, we begin the study of the phenomenon of the “invisible spectrum” for commutative Banach algebras. Function algebras, formal power series and operator algebras will be considered. A quantitative treatment of the famous Wiener-Pitt-Sreider phenomenon for measure algebras on locally compact abelian (LCA) groups is given. Also, our approach includes efficient sharp estimates for resolvents and solutions of higher Bezout equations in terms of their spectral bounds. The smallest “spectral...
Inclusion Statements for Operator Equations by a Continuity Principle.
Inclusion theorems for some sets of sequences defined by -functions
Inclusions de Sobolev en calcul de Weyl-Hörmander et champs de vecteurs sous-elliptiques
Inclusions of Hardy-Orlicz spaces.
Incomparable, non-isomorphic and minimal Banach spaces
A Banach space contains either a minimal subspace or a continuum of incomparable subspaces. General structure results for analytic equivalence relations are applied in the context of Banach spaces to show that if E₀ does not reduce to isomorphism of the subspaces of a space, in particular, if the subspaces of the space admit a classification up to isomorphism by real numbers, then any subspace with an unconditional basis is isomorphic to its square and hyperplanes, and the unconditional basis has...
Incomplete normed algebra norms on Banach algebras
Indefinite Funtions on Commutative Groups.
Indefinite numerical range of matrices
The point equation of the associated curve of the indefinite numerical range is derived, following Fiedler’s approach for definite inner product spaces. The classification of the associated curve is presented in the indefinite case, using Newton’s classification of cubic curves. Illustrative examples of all the different possibilities are given. The results obtained extend to Krein spaces results of Kippenhahn on the classical numerical range.
Independent families on complete Boolean algebras
Index computation for amalgamated products of product systems.
Index for Subfactors.