On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings

• Published in: Український математичний журнал
• Date: 2003
• Main Authors: Başar, F., Altay, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/163810
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings / F. Başar, B. Altay // Український математичний журнал. — 2003. — Т. 55, № 1. — С. 108–118. — Бібліогр.: 10 назв. — англ.

The difference sequence spaces ℓ∞(△), c(△), and c₀(△) were studied by Kızmaz. The main purpose of the present paper is to introduce the space bv p consisting of all sequences whose differences are in the space ℓp , and to fill up the gap in the existing literature. Moreover, it is proved that the sp...