Open AccessStrongly (p,q)-summable sequences
Author(s) -
Rachid Soualmia,
Dahmane Achour,
Elhadj Dahia
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2011627s
Subject(s) - mathematics , class (philosophy) , characterization (materials science) , banach space , space (punctuation) , pure mathematics , dual (grammatical number) , discrete mathematics , topology (electrical circuits) , combinatorics , artificial intelligence , computer science , physics , art , literature , optics , operating system
In this paper we provide a detailed study of the Banach space of strongly (p,q)-summable sequences. We prove that this space is a topological dual of a class of mixed (s,p)-summable sequences, showing in this way new properties of this space. We apply these results to obtain the characterization of the adjoints of (r,p,q)-summing operators.