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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| Published in: | Український математичний журнал |
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| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2011
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/166025 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| 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 < ∞.
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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 < ∞.
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| ISSN: | 1027-3190 |