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

2014/02/24 by Medine Yeşilkayagil, Yeşilkayagil, Medine, Murat Kirişci +1
Mathematics · #47A10 #47B37 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47A10 #msc:47B37

paper · pdf · doi:10.48550/arxiv.1402.5788

8 pages. arXiv admin note: text overlap with arXiv:1105.4839 by other authors

arxiv created 2014/02/24 · arxiv updated 2014/02/25

Abstract

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.

Citations

• On the fine spectrum of the second order difference operator over the sequence spaces ℓ_p and bv_p, (1 < p < ∞)

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