Differentiability of convex functions on a Banach space with smooth bump function.
Differentiability of Lipschitzian mappings between Banach spaces
Differentiability of the distance function and points of multi-valuedness of the metric projection in Banach space
Differentiability points of a distance function
Differentiable mappings on topological vector spaces
Differentiation in locally convex spaces
Differenziabilità delle funzioni convesse a valori in spazi di successioni
Direct Integrals of Hilbert Spaces II.
Direct sums of Cartan factors
Directional derivates and almost everywhere differentiability of biconvex and concave-convex operators.
Distinguished preduals of spaces of holomorphic functions.
Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation
We give characterizations of the distributional derivatives , , of functions of two variables of locally finite variation. Then we use these results to prove the existence theorem for the hyperbolic equation with a nonhomogeneous term containing the distributional derivative determined by an additive function of an interval of finite variation. An application of the above theorem to a hyperbolic equation with an impulse effect is also given.
Domains which are locally uniformly linearly convex in the Kobayashi distance.
Doubly commuting submodules of the Hardy module over polydiscs
In this note we establish a vector-valued version of Beurling’s theorem (the Lax-Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in .
Dualidad y extensiones en holomorfía infinita
Dualité des espaces de fonctions entières en dimension infinie
On étudie ici quelques espaces de fonctions holomorphes dans des domaines localement convexes, ayant comme cas particuliers les espaces de Fock holomorphes. Les espaces duaux sont caractérisés avec la transformation de Fourier-Borel pour des types d’holomorphie appropriés. On montre que ces espaces de fonctions sont de Fréchet-Schwartz (resp. de Silva, resp. nucléaires) quand leurs domaines sont des espaces de Silva (resp. de Fréchet-Schwartz, resp. nucléaires). Les conditions de croissance -sommable...
Duality theory of spaces of vector-valued continuous functions
Let be a completely regular Hausdorff space, a real normed space, and let be the space of all bounded continuous -valued functions on . We develop the general duality theory of the space endowed with locally solid topologies; in particular with the strict topologies for . As an application, we consider criteria for relative weak-star compactness in the spaces of vector measures for . It is shown that if a subset of is relatively -compact, then the set is still relatively -compact...