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arxiv: 1402.5788 · v1 · pith:UY5YLGRSnew · submitted 2014-02-24 · 🧮 math.FA

On the fine spectrum of the forward difference operator on the Hahn space

classification 🧮 math.FA
keywords spectrumdifferenceoperatorspacefinesequenceapproximateclassification
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The main purpose of this paper is to determine the fine spectrum with respect to Goldberg's classification of the difference operator over the sequence space h. As a new development, we give the approximate point spectrum, defect spectrum and compression spectrum of the difference operator on the sequence space h.

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