2022/04/18 by Jamilson R. Campos, Campos, Jamilson R., Renato Macedo +3
Mathematics · #46B45 #47B10 #47B37 #47L20 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Banach space #Bounded function #Class (philosophy) #Combinatorics #Computer science #Discrete mathematics #FOS: Mathematics #Functional Analysis (math.FA) #Linear operators #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Pure mathematics #Sequence (biology) #Sequence space #Space (punctuation) #Type (biology)
paper · pdf · doi:10.48550/arxiv.2204.08313
openalex publication_date 2022/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we define and study a vector-valued sequence space, called the space of anisotropic (s,q,r)-summable sequences, that generalizes the classical space of (s; q)-mixed sequences (or mixed (s; q)-summable sequences). Furthermore, we define two classes of linear operators involving this new space and one of them generalizes the class of (s; q) -mixed linear operators due A. Pietsch. Some characterizations, inclusion results and a Pietsch domination-type theorem are presented for these classes. It is worth mentioning that some of these results are new even in the particular cases of mixed summable sequences and mixed summing operators.