ID | 33223 |
FullText URL | |
Author |
Basar, Feyzi
Sever, Yurdal
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Abstract | The spaces BS, BS(t), CSp, CSbp, CSr and BV of double sequences have recently been studied by Altay and Ba¸sar [J. Math. Anal. Appl. 309(1)(2005), 70–90]. In this work, following Altay and Ba¸sar [1], we introduce the Banach space Lq of double sequences corresponding to the well-known space ℓq of single sequences and examine some properties of the space Lq. Furthermore, we determine the β(υ)-dual of the space and establish that the α- and γ-duals of the space Lq coincide with the β(υ)-dual; where 1 ≤ q < ∞ and υ 2 {p, bp, r}. |
Published Date | 2009-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume51
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 149
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End Page | 157
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol51/iss1/10
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JaLCDOI |