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On some imbedding relations between certain sequence spaces

On some imbedding relations between certain sequence spaces

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 < ∞....

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Bibliographic Details
Main Authors: Mursaleen, M., Noman, A.K.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166025
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Summary: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 < ∞. Remove selected

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