We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
THE FINE SPECTRUM AND THE MATRIX DOMAIN OF THE DIFFERENCE OPERATOR Δ ON THE SEQUENCE SPACE ℓ<sub>p</sub>, (0 < p < 1).
- Authors
Altay, Bilâl; Başar, Feyzi
- Abstract
Let 0 < p < 1. This paper essentially deals with the determination of the fine spectrum and the investigation of the matrix domain bvp of the difference operator Δ in the sequence space lp. It is proved that bvp is a p-normed space and is linearly isomorphic to the space lp. Finally, the β- and γ-duals of the space bvp are computed and the characterization of the matrix mappings from the space bvp into μ and from μ into bvp is given, where μ is any given sequence space.
- Publication
Communications in Mathematical Analysis, 2007, Vol 2, Issue 2, p1
- ISSN
1938-9787
- Publication type
Academic Journal