Approximation of Ultra-Differentiable Functions by Polynomials and Entire Functions.
Asplund spaces for beginners
Axiomatische differentialrechnung.
Axioms for convenient calculus
Banachian Differentiable Spaces.
Banach-Stone Theorems for Banach Manifolds.
Bayoumi quasi-differential is not different from Fréchet-differential
Unlike for Banach spaces, the differentiability of functions between infinite-dimensional nonlocally convex spaces has not yet been properly studied or understood. In a paper published in this Journal in 2006, Bayoumi claimed to have discovered a new notion of derivative that was more suitable for all F-spaces including the locally convex ones with a wider potential in analysis and applied mathematics than the Fréchet derivative. The aim of this short note is to dispel this misconception, since...
Bounded approximants to monotone operators on Banach spaces
Calcul différentiel généralisé
Categorical differential calculus for infinite dimensional spaces
Compactly epi-Lipschitzian convex sets and functions in normed spaces.
Compactness and weak compactness of gradient maps
Concerning a geometrical characterization of Fréchet differentiability
Concerning interior mapping theorem
Conical measures and properties of a vector measure determined by its range
We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...
Continuité et différentiabilité des translations dans un espace Gaussien.
Continuity and differentiability properties of nonlinear operators
Convex functions with non-Borel set of Gâteaux differentiability points
We show that on every nonseparable Banach space which has a fundamental system (e.gȯn every nonseparable weakly compactly generated space, in particular on every nonseparable Hilbert space) there is a convex continuous function such that the set of its Gâteaux differentiability points is not Borel. Thereby we answer a question of J. Rainwater (1990) and extend, in the same time, a former result of M. Talagrand (1979), who gave an example of such a function on .
Corrigenda to "Differentiable mappings on topological vector spaces" (Studia Math 45(1972),pp. 147-160)