8 citations · 8 across the 10 of their papers we have counts for
12 papers
Cohen strongly p-summing holomorphic mappings on Banach spaces
A. Jiménez-Vargas, K. Saadi, J. M. Sepulcre
Let and be complex Banach spaces, be an open subset of and . We introduce and study the notion of a Cohen strongly -summing holomorphic mappin…
On holomorphic mappings with compact type range
A. Jiménez-Vargas, D. Ruiz-Casternado, J. M. Sepulcre
Using Mujica's linearization theorem, we extend to the holomorphic setting some classical characterizations of compact (weakly compact, Rosenthal, Asplund) linear operators between…
The vortex-like behavior of the Riemann zeta function to the right of the critical strip
Juan Matías Sepulcre, Tomás Vidal
Based on an equivalence relation that was established recently on exponential sums, in this paper we study the class of functions that are equivalent to the Riemann zeta function i…
Asymmetric free spaces and canonical asymmetrizations
Aris Daniilidis, Juan Matías Sepulcre, M Francisco Venegas
A construction analogous to that of Godefroy-Kalton for metric spaces allows to embed isometrically, in a canonical way, every quasi-metric space to an asymmetric normed sp…
The converse of Bohr's equivalence theorem with Fourier exponents linearly independent over the rational numbers
M. Righetti, J. M. Sepulcre, T. Vidal
Given two arbitrary almost periodic functions with associated Fourier exponents which are linearly independent over the rational numbers, we prove that the existence of a common op…
On the real projections of zeros of almost periodic functions
J. M. Sepulcre, T. Vidal
This paper deals with the set of the real projections of the zeros of an arbitrary almost periodic function defined in a vertical strip . It provides practical results in order…
Sets of values of equivalent almost periodic functions
J. M. Sepulcre, T. Vidal
In this paper we establish a new equivalence relation on the spaces of almost periodic functions which allows us to prove a result like Bohr's equivalence theorem extended to the c…
Almost Periodic Functions in terms of Bohr's Equivalence Relation
J. M. Sepulcre, T. Vidal
In this paper we introduce an equivalence relation on the classes of almost periodic functions of a real or complex variable which is used to refine Bochner's result that character…
Bohr's equivalence relation in the space of Besicovitch almost periodic functions
J. M. Sepulcre, T. Vidal
Based on Bohr's equivalence relation which was established for general Dirichlet series, in this paper we introduce a new equivalence relation on the space of almost periodic funct…
A generalization of Bohr's Equivalence Theorem
J. M. Sepulcre, T. Vidal
Based on a generalization of Bohr's equivalence relation for general Dirichlet series, in this paper we study the sets of values taken by certain classes of equivalent almost perio…
Biduality and density in Lipschitz function spaces
A. Jiménez-Vargas, J. M. Sepulcre, Moisés Villegas-Vallecillos
For pointed compact metric spaces , we address the biduality problem as to when the space of Lipschitz functions is isometrically isomorphic to the bid…
On the real projection of the zeros of 1+2^s+...+n^s
Eric Dubon, Gaspar Mora, Juan Matías Sepulcre +2
In this paper, we focus on the existence of accumulation points of the subset defined by the real projection of the zeros of the partial sums of the Riemann zeta functions. That wo…