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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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Main Authors: Mursaleen, M., Noman, A.K.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166025
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spelling irk-123456789-1660252020-02-19T01:26:06Z On some imbedding relations between certain sequence spaces Mursaleen, M. Noman, A.K. Статті 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 Введено поняття простору послiдовностей lλp неабсолютного типу, який є p-нормованим простором i BK-простором у випадках 0 < p < 1 i 1 ≤ p < ∞ вiдповiдно. Крiм того, отримано деякi спiввiдношення вкладення та побудовано базис для простору lλp, де 1 ≤ p < ∞. 2011 Article 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. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/166025 517.9 en Український математичний журнал Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Статті
Статті
spellingShingle Статті
Статті
Mursaleen, M.
Noman, A.K.
On some imbedding relations between certain sequence spaces
Український математичний журнал
description 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
format Article
author Mursaleen, M.
Noman, A.K.
author_facet Mursaleen, M.
Noman, A.K.
author_sort Mursaleen, M.
title On some imbedding relations between certain sequence spaces
title_short On some imbedding relations between certain sequence spaces
title_full On some imbedding relations between certain sequence spaces
title_fullStr On some imbedding relations between certain sequence spaces
title_full_unstemmed On some imbedding relations between certain sequence spaces
title_sort on some imbedding relations between certain sequence spaces
publisher Інститут математики НАН України
publishDate 2011
topic_facet Статті
url http://dspace.nbuv.gov.ua/handle/123456789/166025
citation_txt 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.
series Український математичний журнал
work_keys_str_mv AT mursaleenm onsomeimbeddingrelationsbetweencertainsequencespaces
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first_indexed 2023-10-18T22:17:42Z
last_indexed 2023-10-18T22:17:42Z
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