Strongly (p,q)-summable sequences | Zendy

Rachid Soualmia | Zendy; Dahmane Achour | Zendy; Elhadj Dahia | Zendy

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Strongly (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.

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