2 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…