Denjoy integral and Henstock-Kurzweil integral in vector lattices. I
In this paper we define the derivative and the Denjoy integral of mappings from a vector lattice to a complete vector lattice and show the fundamental theorem of calculus.
Denjoy integral and Henstock-Kurzweil integral in vector lattices. II
In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.
Derivatives are Borel functions.
Die Automorphismen und die Invarianzgruppe der Algebra der konvergenten Potenzreihen eines Banachraumes.
Die richtigen Räume für Analysis im Unendlich-Dimensionalen.
Different aspects of differentiability [Book]
Differentation under the integral sign and holomorphy.
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
Directional derivates and almost everywhere differentiability of biconvex and concave-convex operators.
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.
Embedding derivatives of -harmonic tent spaces into Lebesgue spaces.
Espaces de Banach faiblement -analytiques
Espaces du type Sobolev sur un espace de Hilbert complexe
Espaces localement convexes séparés différentiables