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Joilson Ribeiro

Publications and source records attributed to Joilson Ribeiro.

10 recordsLinked to original sources
arXiv2026

Dunford-Pettis Multilinear Operators and their variations: A revisit to the classic concepts of Operator Ideals

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 literature, as well as an approach outside the origin. We also investigate the inclusion results and conditions for the coincidence of this class with others previously studied and also with new classes that will emerge throughout this text.

math.FA↗
arXiv2026

Demi Weakly Dunford-Pettis on Banach Spaces

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 Dunford-Pettis operators, including a condition where these operators coincide with Demi Dunford-Pettis and Demicompacts. In the last section, we study some of the behavior of this class in the Banach Lattice environment.

math.FA↗
arXiv2024

A note on Basis Problem in normed spaces

In this work, we prove the criterion of Banach-Grunblum and the principle of selection of Bessaga-Pełczyński for normed spaces. As applications of these results, we show the Principle of Selection of Bessaga-Pełczyński for normed spaces and the Spectral Theorem for compact self-adjoint operators on inner product spaces.

math.FA↗
arXiv2021

Multiple almost summing operators

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 investigate the conditions for this new concept to recover the original concept of type and type for multilinear operators. We also show that these classes are Banach multi-ideals and establish the coherence and compatibility of these classes with the generated homogeneous polynomials.

math.FA↗
arXiv2018

Transformations of sequence spaces by multipolinomials

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. We also present an abstract approach to the concept of absolutely summing multipolynomials

math.FA↗
arXiv2018

Coherence and compatibility: a stronger approach

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 proposed before. We began analyzing this new definition in a technical sense, searching for what it has in common with other approaches. Then, we moved on to a more practical analysis. Through numerous examples of different classes of multilinear mappings and homogenous polynomials we checked the limits on these proposed definitions and propose there is a vast field in which they apply.

math.FA↗
arXiv2018

Generalized multiple summing multilinear operators on Banach spaces

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 known classes and results, for example multiple $(p, q_1,\dots, q_n)$-summing operators, multiple mixing $(s, q, p)$-summing operators and multiple strong $(s, q, p)$-mixing summing operators. We also define new class of multiple summing multilinear operator that are particular cases of our construction and, therefore, satisfy the results proved in the paper.

math.FA↗
arXiv2012

On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility

What is an adequate extension of an operator ideal I to the polynomial and multilinear settings? This question motivated the appearance of the concepts of coherent sequences of polynomial ideals and compatibility of a polynomial ideal with an operator ideal, introduced by D. Carando el al. We propose a different approach by considering pairs (U_{k},M_{k})_{k=1}^{\infty}, where (U_{k})_{k=1}^{\infty} is a polynomial ideal and (M_{k})_{k=1}^{\infty} is a multi-ideal, instead of considering just polynomial ideals. Our approach ends a discomfort caused by the previous theory: for real scalars the canonical sequence (P_{k})_{k=1}^{\infty} of continuous k-homogeneous polynomials is not coherent according to the definition of Carando et al.

math.FA↗
arXiv2011

Almost Summing Polynomials: A Coherent and Compatible Approach the from the Infinite-Dimensional Holomorphy Viewpoint

In this note we explore the notion of everywhere almost summing polynomials and define a natural norm which makes this class a Banach multi-ideal which is a holomorphy type (in the sense of L.Nachbin) and also coherent and compatible (in the sense of D. Carando, V. Dimant and S. Muro) with the notion of almost summing linear operators. Similar results are not valid for the original concept of almost summing polynomials, due to G. Botelho.

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