Abstract characterization of Orlicz-Kantorovich lattices associated with an -valued measure
An abstract characterization of Orlicz-Kantorovich lattices constructed by a measure with values in the ring of measurable functions is presented.
Abstract representing kernels.
Acknowledgement of priority: Second derivates of convex functions.
Addendum to: "Linear operations, tensor products, and contractive projections in function spaces" (Studia Math. 38 (1970), pp. 131-186)
Algebras de Banach de medidas vectoriales.
Algunas Caracterizaciones De Medidas Espectrales Extendibles.
An almost nowhere Fréchet smooth norm on superreflexive spaces
Every separable infinite-dimensional superreflexive Banach space admits an equivalent norm which is Fréchet differentiable only on an Aronszajn null set.
An alternative polynomial Daugavet property
We introduce a weaker version of the polynomial Daugavet property: a Banach space X has the alternative polynomial Daugavet property (APDP) if every weakly compact polynomial P: X → X satisfies . We study the stability of the APDP by c₀-, - and ℓ₁-sums of Banach spaces. As a consequence, we obtain examples of Banach spaces with the APDP, namely and C(K,X), where X has the APDP.
An analogue of the Riesz-representation theorem.
An application of averaging operators to multilinearity.
An application of the Hahn-Banach theorem in convex analysis
An elementary approach to some questions in higher order smoothness in Banach spaces.
An Elementary Characterization of Absolutely Summing Operators.
An equivalent definition of the vector-valued McShane integral by means of partitions of unity
An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
An Example Concerning the Projective Tensor Product of Vector Measures
An extension of Mazur's theorem on Gateaux differentiability to the class of strongly α (·)-paraconvex functions
Let (X,||·||) be a separable real Banach space. Let f be a real-valued strongly α(·)-paraconvex function defined on an open convex subset Ω ⊂ X, i.e. such that . Then there is a dense -set such that f is Gateaux differentiable at every point of .
An extension of the inverse function theorem.
An implicit function theorem in Banach spaces
An intrinsic definition of the Colombeau generalized functions
A slight modification of the definition of the Colombeau generalized functions allows to have a canonical embedding of the space of the distributions into the space of the generalized functions on a manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.
An introduction to polynomials on Banach spaces.