An Existence Result for Simple Inductive Limits of Interval Algebras.
An explicit expression for the Kr functionals of interpolation between Lp spaces.
When dealing with interpolation spaces by real methods one is lead to compute (or at least to estimate) the K-functional associated to the couple of interpolation spaces. This concept was first introduced by J. Peetre (see [8], [9]) and some efforts have been done to find explicit expressions of it for the case of Lebesgue spaces. It is well known that for the couple consisting of L1 and L∞ on [0, ∞) K is given by K (t; f, L1, L∞) = ∫0t f* where f* denotes the non increasing rearrangement of the...
An exponential law for regular ordered Banach spaces
An implicit function theorem in Banach spaces
An index formula for chains
We derive a formula for the index of Fredholm chains on normed spaces.
An interpolation theorem with -weighted spaces
Analyse harmonique, analyse complexe et géométrie des espaces de Banach
Analytic Convexity and Complex Interpolation.
Analytic functions in non-locally convex spaces and applications
Analytic Structure in the Spectra of Certain uF-Algebras.
Applications du théorème de factorisation pour des fonctions à valeurs opérateurs
Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
Applications of Ultraproducts to Infinite Dimensional Holomorphy.
Approximate biflatness and Johnson pseudo-contractibility of some Banach algebras
We study the structure of Lipschitz algebras under the notions of approximate biflatness and Johnson pseudo-contractibility. We show that for a compact metric space , the Lipschitz algebras and are approximately biflat if and only if is finite, provided that . We give a necessary and sufficient condition that a vector-valued Lipschitz algebras is Johnson pseudo-contractible. We also show that some triangular Banach algebras are not approximately biflat.
Arens Regularity of K (X).
Associated weights and spaces of holomorphic functions
When treating spaces of holomorphic functions with growth conditions, one is led to introduce associated weights. In our main theorem we characterize, in terms of the sequence of associated weights, several properties of weighted (LB)-spaces of holomorphic functions on an open subset which play an important role in the projective description problem. A number of relevant examples are provided, and a “new projective description problem” is posed. The proof of our main result can also serve to characterize...
Axioms for convenient calculus