8 papers
Dunford-Pettis Multilinear Operators and their variations: A revisit to the classic concepts of Operator Ideals
Joilson Ribeiro, Fabricio Santos
In this paper, we will address broader concepts for Dunford-Pettis operators, presenting new classes and results that correlate this class with others already well-studied in the l…
Demi Weakly Dunford-Pettis on Banach Spaces
Joilson Ribeiro, Fabricio Santos
In this paper, our main goal is to define the class of weakly Demi Dunford-Pettis applications. We also study their relationship with the classes of weakly Dunford-Pettis and Demi…
Garside shadows and biautomatic structures in Coxeter groups
Fabricio Dos Santos
In 2022, Osajda and Przytycki showed that any Coxeter group is biautomatic. Key to their proof is the notion of voracious projection of an element , which is used iter…
Multiple almost summing operators
Joilson Ribeiro, Fabrício Santos
In this paper, we explore the concept of multilinear operators that are multiple almost summing and present a new concept of type and cotype of multilinear operators and investigat…
Transformations of sequence spaces by multipolinomials
Joilson Ribeiro, Fabrício Santos
In this paper we introduce a new approach to the concept of multipolynomials and generalize several results of the homogeneous polynomials and symmetric multilinear applications. W…
Coherence and compatibility: a stronger approach
Joilson Ribeiro, Fabrício Santos, Ewerton Torres
In this work we present a definition for coherence and compatibility of multilinear mappings and homogenous polynomial classes. These definitions are more restricted than the ones…
Absolutely - summing polynomials and the notion of coherence and compatibility
Joilson Ribeiro, Fabrício Santos
In this paper, we construct the abstract ideal of polynomials. We show this is an ideal of Banach and, in a second moment, we explore the question of the coherence and compatibilit…
Generalized multiple summing multilinear operators on Banach spaces
Joilson Ribeiro, Fabrício Santos
In this paper we provide an abstract aproach to the study of classes of multiple summing multilinear operators between Banach spaces. The main purpose is unify the study of several…