On some imbedding relations between certain sequence spaces

• Published in: Український математичний журнал
• Date: 2011
• Main Authors: Mursaleen, M., Noman, A.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166025
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On some imbedding relations between certain sequence spaces / M. Mursaleen, A.K. Noman // Український математичний журнал. — 2011. — Т. 63, № 4. — С. 489–501. — Бібліогр.: 19 назв. — англ.

In the present paper, we introduce the sequence space ` lλp of non-absolute type which is a p-normed space and a BK-space in the cases of 0 < p < 1 and 1 ≤ p < ∞, respectively. Further, we derive some imbedding relations and construct the basis for the space lλp, where 1 ≤ p < ∞....