On the fine spectrum of generalized upper triangular double-band matrices $Delta^{uv}$ over the sequence spaces $c_o$ and $c$
نویسنده
چکیده مقاله:
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, 234(2010) 1387-1394].
منابع مشابه
Fine 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 upper triangular double-band matrices
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.
متن کاملOn the fine spectra of the generalized difference operator Delta_{uv} over the sequence space c0
The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator Delta_{uv} over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator Delta_{uv} of Srivastava and Kumar.
متن کاملOn the fine spectrum of the upper triangle double band matrix ∆ + on the sequence space c 0
In this study, we determine the fine spectrum of the matrix operator ∆ defined by an upper triangle double band matrix acting on the sequence space c0 with respect to the Goldberg’s classification. As a new development, we give the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator ∆ on c0. AMS subject classifications: 47A10, 47B37
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 کاملOn the fine spectrum of the generalized difference operator B(r, s) over the sequence spaces c0 and c
By B(X), we also denote the set of all bounded linear operators on X into itself. If X is any Banach space and T ∈ B(X), then the adjoint T∗ of T is a bounded linear operator on the dual X∗ of X defined by (T∗ f )(x)= f (Tx) for all f ∈ X∗ and x ∈ X . LetX = {θ} be a nontrivial complex normed space and T : (T)→ X a linear operator defined on a subspace (T)⊆ X . We do not assume thatD(T) is dens...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 7 شماره 1
صفحات 31- 43
تاریخ انتشار 2016-01-21
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023