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Document Details
Document Type
:
Article In Journal
Document Title
:
On the Euler sequence spaces which include the spaces l(p) and l(infinity)I
On the Euler sequence spaces which include the spaces l(p) and l(infinity)I
Document Language
:
Arabic
Abstract
:
In the present paper, we introduce the Euler sequence space e(p)(r) consisting of all sequences whose Euler transforms of order r are in the space e,, of non-absolute type which is the BK-space including the space l(p) and prove that the spaces e(p)(r) and l(p) are linearly isomorphic for 1 <= p <= infinity. Furthermore, we give some inclusion relations concerning the space e(p)(r). Finally, we determine the alpha-, beta- and gamma-duals of the space e(p)(r) for 1 <= p <= infinity and construct the basis for the space e(p)(r), where 1 <= P <= infinity. (c) 2005 Elsevier Inc. All rights reserved.
Journal Name
:
INFORMATION SCIENCES
Volume
:
176
Issue Number
:
10
Publishing Year
:
2006 AH
Added Date
:
Wednesday, June 18, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
.
Altay B
Researcher
.
Basar F
Researcher
.
Mursaleen M
Researcher
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