| The Fine Spectra of the Difference Operator △ Over the Sequence Space bvp, （1 ≤ p 〈 ∞）^＊ |
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| 作者姓名： | Ali M. AKHMEDOV Feyzi BASAR |
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| 作者单位： | [1]Baku State University, Department of Mech. ＆ Math., Z. Khalilov Str., 23, P. O. Box 370145, Baku, Azerbaijan [2]Inonu Universitesi, Egitim Fakultesi, Matematik Egitimi Bolumu, Malatya-44280, Turkiye |
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| 基金项目： | The authors wish to express their thanks to TUBITAK-BAYG for supplying the financial support by PC-B Programme during the preparation of the present work in winter 2004 and for their common project This work has been presented in brief in the International Workshop on Analysis and Its Applications, September 07-11, 2004, Mersin, Turkiye |
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| 摘 要： | The sequence space bvp consisting of all sequences （xk） such that （xk -xk-1） belongs to the space gp has recently been introduced by Basar and Altay Ukrainian Math. J., 55（1）, 136-147（2003）]; where 1 ≤ p ≤ ∞. In the present paper, some results concerning with the continuous dual and f-dual, and the AD-property of the sequence space bvp have been given and the norm of the difference operator A acting on the sequence space bvp has been found. The fine spectrum with respect to the Goldberg＇s classification of the difference operator △ over the sequence space bvp has been determined, where 1≤p〈∞.
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| 关 键 词： | 光谱算子 微分算子 连续对偶序列 空间序列 |
| 修稿时间： | 2005-01-05 |
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