On the fine spectrum of the generalized difference operator $B(r,s)$ over the sequence space $\ell_1$ and $bv$
FURKAN, Hasan ; B\.ILG\.I\C C, H\"usey\.in ; KAYADUMAN, Kuddus\.i
Hokkaido Math. J., Tome 35 (2006) no. 1, p. 893-904 / Harvested from Project Euclid
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The main purpose of this paper is to determine the fine spectrum of the operator $B(r,s)$ defined by a band matrix over the sequence spaces $\ell_1$ and $bv$. Since the operator $B(r,s)$ is reduced to the right-shift, difference and Zweier matrices in special cases $(r,s)=(0,1),(r,s)=(1,-1) $ and $(r,s)=(r,1-r)$, respectively, our results are more general than the corresponding results in the existing literature.
Publié le : 2006-11-15
Classification:  Spectrum of an operator,  generalized difference operator and the sequence spaces $\ell_1$ and $bv$,  47B37,  47A10 
@article{1285766434,
     author = {FURKAN, Hasan and B\.ILG\.I\C C, H\"usey\.in and KAYADUMAN, Kuddus\.i},
     title = {On the fine spectrum of the generalized difference operator $B(r,s)$ over the sequence space $\ell\_1$ and $bv$},
     journal = {Hokkaido Math. J.},
     volume = {35},
     number = {1},
     year = {2006},
     pages = { 893-904},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285766434}
}

FURKAN, Hasan; B\.ILG\.I\C C, H\"usey\.in; KAYADUMAN, Kuddus\.i. On the fine spectrum of the generalized difference operator $B(r,s)$ over the sequence space $\ell_1$ and $bv$. Hokkaido Math. J., Tome 35 (2006) no. 1, pp.  893-904. http://gdmltest.u-ga.fr/item/1285766434/