Fine spectra of upper triangular double-band matrices
نویسندگان
چکیده
The fine spectra of lower triangular double-band matrices were examined by several authors. Here we determine the fine spectra of upper triangular double-band matrices over the sequence spaces () p and () bv p. Upper triangular double-band matrices are infinite matrices which include the left-shift, averaging and difference operators.
منابع مشابه
On the fine spectrum of generalized upper triangular double-band matrices $Delta^{uv}$ over the sequence spaces $c_o$ and $c$
The main purpose of this paper is to determine the fine spectrum of the generalized upper triangular double-band matrices uv over the sequence spaces c0 and c. These results are more general than the spectrum of upper triangular double-band matrices of Karakaya and Altun[V. Karakaya, M. Altun, Fine spectra of upper triangular doubleband matrices, Journal of Computational and Applied Mathematics...
متن کاملSpectra and fine spectra of certain lower triangular double-band matrices as operators
*Correspondence: [email protected] Mathematics Department, Faculty of Science, Damietta University, New Damietta, Egypt Abstract In this paper we determine the fine spectrum of the generalized difference operator a,b defined by a lower triangular double-band matrix over the sequence space c0. The class of the operator a,b contains as special cases many operators that have been studied recent...
متن کاملFine Spectra of Upper Triangular Double - Band Matrices over the Sequence Space p , 1 < p < ∞
The operator A r̃, s̃ on sequence space on p is defined A r̃, s̃ x rkxk skxk 1 ∞ k 0, where x xk ∈ p, and r̃ and s̃ are two convergent sequences of nonzero real numbers satisfying certain conditions, where 1 < p < ∞ . The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg’s classification of the operator A r̃, s̃ defined by a double sequential band matrix over the...
متن کاملFine spectra of triangular triple - band matrices on sequence spaces c and l p , ( 0 < p < 1 )
The purpose of this study is to determine the fine spectra of the operator for which the corresponding upper and lower triangular matrices A(r, s, t) and B(r, s, t) are on the sequence spaces c and lp, where (0 < p < 1), respectively. Further, we obtain the approximate point spectrum, defect spectrum and compression spectrum on these spaces. Furthermore, we give the graphical representations of...
متن کاملJoint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra
In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Computational Applied Mathematics
دوره 234 شماره
صفحات -
تاریخ انتشار 2010