SUBDIVISIONS OF THE SPECTRA FOR GENERALIZED DIFFERENCE OPERATOR ???v ON THE SEQUENCE SPACE ???1

On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞)

“…In 1977, Cass and Rhoades [6], in 1978, Cardlidge [7] computed the spectrum of Weighted mean matrices. Subdivisions of the spectrum for an operator on a sequence space were given by [8], [9] and [10] firstly.…”

Spectra and fine spectra for the upper triangular band matrix U(a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) over the sequence space c 0

“…The above-mentioned articles, concerned with the decomposition of the spectrum which defined by Goldberg. However, in [7] Durna and Yildirim have investigated subdivision of the spectra for factorable matrices on c 0 and in [3] Basar, Durna and Yildirim have investigated subdivisions of the spectra for generalized difference operator on the sequence spaces c 0 and c and in [8] Durna, have studied subdivision of the spectra for the generalized upper triangular double-band matrices ∆ uv over the sequence spaces c 0 and c. In [5], Das has calculated the spectrum and fine spectrum of the upper triangular matrix U (r 1 , r 2 ; s 1 , s 2 ) over the sequence space c 0 . In [20], the fine spectrum of the upper triangular matrix U (r, 0, 0, s) over the squence spaces c 0 and c was studied by Tripathy and Das.…”

The spectrum and some subdivisions of the spectrum of discrete generalized Cesàro operators on ℓ p $\ell_{p}$ ( 1 <

“…This separation of the spectrum of some operator has been studied by various authors in [ 18 , 24 – 26 , 28 ] and is still being studied.…”