Yazar "Basar, Feyzi" seçeneğine göre listele

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    Fine Spectra of Upper Triangle Triple Band Matrices over the Sequence Spaces lp, (0 < p < ?)
    (Amer Inst Physics, 2012) Basar, Feyzi; Karaisa, Ali
    The operator A(r, s, t) on sequence space on l(p) is defined Lambda(r, s, t) x = (rx(k-1) + sx(k) + tx(k+1))(k=0)(infinity) where x = (x(k)) subset of l(p), with (0 < p < 1). The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg's classification of the operator A(r, s, t) defined by a triple sequential band matrix over the sequence space l(p). Additionally, we give the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator A(r, s, t) over the space l(p).
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    Fine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space lp ( 0 < p < ?)
    (Hindawi Ltd, 2013) Karaisa, Ali; Basar, Feyzi
    The fine spectra of lower triangular triple-band matrices have been examined by several authors (e. g., Akhmedov (2006), Basar (2007), and Furken et al. (2010)). Here we determine the fine spectra of upper triangular triple-band matrices over the sequence space l(p). The operator A(r, s, t) on sequence space on l(p) is defined by A(r, s, t)x = (rx(k) + sx(k+1) + tx(k+2))(k=0)(infinity), where x = (x(k)) is an element of l(p), with 0 < p < infinity. In this paper we have obtained the results on the spectrum and point spectrum for the operator A(r, s, t) on the sequence space l(p). Further, the results on continuous spectrum, residual spectrum, and fine spectrum of the operator A(r, s, t) on the sequence space l(p). are also derived. Additionally, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator A(r, s, t) over the space l(p) and we give some applications.
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    On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space lp, (1 < p < ?)
    (Hacettepe Univ, Fac Sci, 2015) Basar, Feyzi; Karaisa, Ali
    The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg's classification of the operator B((r) over tilde, (s) over tilde) defined by a double sequential band matrix over the sequence space l(p), where 1 < p < infinity. These results are more general than the spectrum of the generalized difference operator B(r, s) over l(p) of Bilgic and Furkan.
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    Some New Generalized Difference Spaces of Nonabsolute Type Derived from the Spaces lp and l?
    (Hindawi Ltd, 2013) Basar, Feyzi; Karaisa, Ali
    We introduce the sequence space l(p)(lambda)(B) of none absolute type which is a p-normed space and BK space in the cases 0 < p < 1 and 1 <= p <= infinity , respectively, and prove that l(p)(lambda) (B) and l(p) are linearly isomorphic for 0 < 8. Furthermore, we give some inclusion relations concerning the space l(p)(lambda)(B) and we construct the basis for the space l(p)(lambda) (B), where 1 <= p <= infinity. Furthermore, we determine the alpha-, beta- and gamma-duals of the space l(p)(lambda) (B) for 1 <= p <= infinity. Finally, we investigate some geometric properties concerning Banach-Saks type p and give Gurarii's modulus of convexity for the normed space l(p)(lambda)(B)
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    Some new paranormed sequence spaces and core theorems
    (Amer Inst Physics, 2014) Karaisa, Ali; Basar, Feyzi
    Let mu is an element of{l(infinity), c, c(0)}. In this study, by using lambda matrix. and difference matrix B, we introduce the new nonabsolute type paranormed sequence space mu(lambda, B; p) and prove that mu(lambda, B; p) and mu(p) linearly isomorphic. Further, we give some inclusion relations concerning the space mu(lambda, B; p). Afterwards, we determine the alpha-, beta- and gamma-duals of the space mu(lambda, p; B). We also give the characterization of the classes (mu(lambda, B; p) : nu) and (nu : mu(lambda, B; p)), where. is any given sequence space. Moreover, we introduce the Lambda-core of a complex valued sequence and determine the necessary and sufficient conditions on a matrix Lambda for which Lambda- core(Lambda x) subset of K core(x) and Lambda core(Ax) subset of st core(x) for all x subset of l(infinity).
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    Spectrum and fine spectrum of the upper triangular triple-band matrix over some sequence spaces
    (Amer Inst Physics, 2015) Basar, Feyzi; Karaisa, Ali
    The fine spectra of lower triangular triple-band matrices in some sequence spaces was examined by several authors. Recently, Karakaya and Altun determined the fine spectra of upper triangular double-band matrices over the sequence spaces c(0) and c, in [1]. In this paper, we determine the fine spectra of the upper triangular triple-band matrix over the sequence spaces c(0), c and l(infinity.) Additionally, we give the approximate point spectrum, the defect spectrum and the compression spectrum of the matrix operator A(r,s,t) over the spaces c(0), c and l(infinity) with some applications. These results are more general than the corresponding results obtained by Karakaya and Altun [J. Comput. Appl. Math. 234 (2010), 1387-1394].