28 citations · 39 across the 11 of their papers we have counts for
13 papers
Geometric spaceability in sequence classes and operator ideals
Nacib G. Albuquerque, Jamilson R. Campos, Luiz Felipe P. Sousa
This paper investigates advanced notions of lineability and spaceability within the frameworks of sequence spaces and operator ideals. We propose the notion of \emph{Standard Seque…
An injective-type norm and integral bilinear forms defined by sequence classes
Jamilson R. Campos, Lucas Nascimento, Luiz Felipe de Pinho Sousa
In this work we define a class of injective-type norm on tensor products through the environment of sequence classes. Examples and results on this norm will be presented and the du…
Maximal ideals of generalized summing linear operators
Geraldo Botelho, Jamilson R. Campos, Lucas Nascimento
We prove when a Banach ideal of linear operators defined, or characterized, by the transformation of vector-valued sequences is maximal. Known results are recovered as particular c…
An anisotropic summability and mixed sequences
Jamilson R. Campos, Renato Macedo, Joedson Santos
In this paper we define and study a vector-valued sequence space, called the space of anisotropic -summable sequences, that generalizes the classical space of -mix…
Duality theory for generalized summing linear operators
Geraldo Botelho, Jamilson R. Campos
Generalizing classical results of the theory of absolutely summing operators, in this paper we characterize the duals of a quite large class of Banach operator ideals defined or ch…
Mid summable sequences: an anisotropic approach
Jamilson R. Campos, Joedson Santos
The notion of mid -summable sequences was introduced by Karn and Sinha in 2014 and recently explored and expanded by Botelho, Campos and Santos in 2017. In this paper we design…
Operator ideals related to absolutely summing and Cohen strongly summing operators
Geraldo Botelho, Jamilson R. Campos, Joedson Santos
We study the ideals of linear operators between Banach spaces determined by the transformation of vector-valued sequences involving the new sequence space introduced by Karn and Si…
Type and cotype of multilinear operators
Geraldo Botelho, Jamilson R. Campos
The aim of this paper is to start the study of multilinear generalizations of the classical ideals of linear operators of type and cotype . As a first step in a theory we be…
On the transformation of vector-valued sequences by linear and multilinear operators
Geraldo Botelho, Jamilson R. Campos
In this paper we provide a unifying approach to the study of Banach ideals of linear and multilinear operators defined, or characterized, by the transformation of vector-valued seq…
An abstract result on Cohen strongly summing operators
Jamilson Ramos Campos
We present an abstract result that characterizes the coincidence of certain classes of linear operators with the class of Cohen strongly summing linear operators. Our argument is e…
On the optimality of the hypercontractivity of the complex Bohnenblust--Hille inequality
J. R. Campos, G. A. Muñoz-Fernández, D. Pellegrino +1
The main motivation of this paper is the following open problem: Is the hypercontractivity of the \emph{complex} polynomial Bohnenblust--Hille inequality an optimal result? We show…
On the real polynomial Bohnenblust-Hille inequality
J. R. Campos, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández +2
It was recently proved by Bayart et al. that the complex polynomial Bohnenblust--Hille inequality is subexponential. We show that, for real scalars, this does no longer hold. Moreo…
Multiple Cohen strongly summing operators, ideals, coherence and compatibility
Jamilson Ramos Campos
Considering the successful theory of multiple summing multilinear operators as a prototype, we introduce the classes of multiple Cohen strongly p-summing multilinear operators and…