Applications of Fibonacci matrix to characterize some Banach spaces through weakly unconditional Cauchy series

Author
Raj , K
Linked Agent
Choudhary , A, Author
Aiyub , M, Author
Sharma , S, Author
Title of Periodical
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Country of Publication
Kingdom of Bahrain
Place Published
Sakhir, Bahrain
Publisher
University of Bahrain
Date Issued
2022
Language
English
Subject
English Abstract
Abstract: In this article, we introduce new sequence spaces U(T (x), F, p, u), U(Tw(x), F, p, u) and U(Tw∗ (h), F, p, u) by using Fibonacci matrix and sequence of modulus functions. We make an effort to study some characterizations of weakly unconditionally Cauchy series associated to newly formed sequence spaces. Finally, the barreledness of a normed space Y is characterized by means of weakly∗ unconditionally Cauchy series in Y ∗ .
Member of
Articles
Identifier
https://digitalrepository.uob.edu.bh/id/52241b20-3bad-4034-a7af-fcef1f04a645