The fine spectrum and the matrix domain of the difference operator \(\Delta\) on the sequence space \(l_{p},\;(0
From MaRDI portal
Publication:1014103
zbMath1173.47021MaRDI QIDQ1014103
Publication date: 24 April 2009
Published in: Communications in Mathematical Analysis (Search for Journal in Brave)
Sequence spaces (including Köthe sequence spaces) (46A45) Spectrum, resolvent (47A10) Linear difference operators (47B39) Summability in abstract structures (40J05)
Related Items (78)
On the spectrum of fractional difference operator ⋮ The matrix domain and the spectra of a generalized difference operator ⋮ Compact operators on spaces of binomial fractional difference sequences ⋮ On the fine spectrum of the operator \(Q (r, s, t, u)\) over \(\ell_p\) and \(bv_p\), \(1 < p < \infty\) ⋮ On certain Toeplitz matrices via difference operator and their applications ⋮ Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces ⋮ Unnamed Item ⋮ On the convergence and statistical convergence of difference sequences of fractional order ⋮ On the Taylor sequence spaces and upper boundedness of Hausdorff matrices and Nörlund matrices ⋮ The spectrum of the operator \(D(r, 0, s, 0, t)\) over the sequence spaces \(c_0\) and \(c\) ⋮ On the Gamma Spaces Including the Spaces of Absolutely p-Summable, Null, Convergent and Bounded Sequences ⋮ On the fine spectrum of the operator defined by the lambda matrix over the spaces of null and convergent sequences ⋮ Some new sequence spaces derived by the domain of generalized difference matrix ⋮ Quasi-Cesàro matrix and associated sequence spaces ⋮ Matrix mappings and compact operators for Schröder sequence spaces ⋮ On the \(\beta\)-dual of Banach-space-valued difference sequence spaces ⋮ Paranormed sequence space of non-absolute type founded using generalized difference matrix ⋮ Generalized difference spaces of non-absolute type of convergent and null sequences ⋮ A novel conservative matrix arising from Schröder numbers and its properties ⋮ On Difference Double Sequences and Their Applications ⋮ Difference sequence spaces derived by using a generalized weighted mean ⋮ Fine spectrum of the generalized difference operator \(\varDelta _{uv}\) on sequence space \(l_{1}\) ⋮ A remark on the spectrum of fractional difference operator ⋮ Subdivisions of the spectra for D(r,0,s,0,t) operator on certain sequence spaces ⋮ Hausdorff measure of noncompactness of matrix mappings on certain difference sequence spaces ⋮ Operator norms of four-dimensional Hausdorff matrices on the double Euler sequence spaces ⋮ On the Riesz almost convergent sequences space ⋮ Cesàro summable difference sequence space ⋮ On the fine spectrum of quadruple band matrix operator over \(c_0\) and \(c\) ⋮ Unnamed Item ⋮ Some new sequence spaces derived by the domain of the triple band matrix ⋮ Some spectral aspects of the operator \(\triangle_v^r\) over the sequence spaces \(\ell_p\) and \(bv_p\) \((1 < p < \infty)\) ⋮ Almost convergence and triple band matrix ⋮ Some geometric properties of a new difference sequence space defined by de la Vallée-Poussin mean ⋮ A survey on the spectra of the difference operators over the Banach space \(c\) ⋮ On the convergence difference sequences and the related operator norms ⋮ The spectrum of the operator \(D(r,0,s,0,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\) ⋮ On spectral estimations of the generalized forward difference operator ⋮ Domain of the double sequential band matrix in the spaces of convergent and null sequences ⋮ On some study of the fine spectra of \(n\)-th band triangular matrices ⋮ On the fine spectra of the generalized \(r\)th difference operator \(\Delta^r_v\) on the sequence space \(\ell_1\) ⋮ Matrix transformations and compact operators on Catalan sequence spaces ⋮ Unnamed Item ⋮ Some general results on fractional Banach sets ⋮ Almost convergence and generalized difference matrix ⋮ On the domain of the triangle \(A(\lambda)\) on the spaces of null, convergent, and bounded sequences ⋮ The Cesàro-gamma operator and its associated sequence space ⋮ Unnamed Item ⋮ The spectrum of the generalized difference operatorBv(m)over the sequence space ℓp(1 <p< ∞ ⋮ Unnamed Item ⋮ On the factorable spaces of absolutely \(p\)-summable, null, convergent, and bounded sequences ⋮ Unnamed Item ⋮ A study on Copson operator and its associated sequence space. II ⋮ SOME GENERALIZED FIBONACCI DIFFERENCE SPACES DEFINED BY A SEQUENCE OF MODULUS FUNCTIONS ⋮ ON THE SPACES OF λm-BOUNDED AND λm-ABSOLUTELY p-SUMMABLE SEQUENCES ⋮ Composition of Cesàro and backward difference operators ⋮ A Survey for the Spectrum of Triangles over Sequence Spaces ⋮ On the Spectra of Difference Operators Over Some Banach Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Cesàro spaces and norm of operators on these matrix domains ⋮ A New Banach Space Defined By Euler Totient Matrix Operator ⋮ Unnamed Item ⋮ Negative Difference Operator and Its Associated Sequence Space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Difference sequence spaces derived by using generalized means ⋮ ${[\ell_p}_{e.r}$ Euler-Riesz Difference Sequence Spaces] ⋮ Some Geometric Characterizations of a Fractional Banach Set ⋮ Difference sequence spaces based on Lucas band matrix and modulus function ⋮ The αAB-, βAB-, γab- and NAB-duals for sequence spaces ⋮ On the paranormed space L(t) of double sequences ⋮ Some topologic and geometric properties of new Catalan sequence spaces ⋮ On some new paranormed sequence spaces defined by the matrix (D )(r,0,0,s) ⋮ A note on matrix domains of Copson matrix of order α and compact operators
This page was built for publication: The fine spectrum and the matrix domain of the difference operator \(\Delta\) on the sequence space \(l_{p},\;(0<p<1)\)