On the Euler sequence spaces which include the spaces $\ell _{p}$ and $\ell _{\infty}$. II

DOI10.1016/j.na.2005.09.038zbMath1108.46019OpenAlexW1533036608MaRDI QIDQ2499629

Bilal Altay, Mohammad Mursaleen, Feyzi Basşar

Publication date: 14 August 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.09.038

zbMATH Keywords

Banach-Saks property fixed point property weak Banach-Saks property matrix mappings Banach-Saks type $p$Euler sequence spaces of non-absolute type

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items

Euler summability method of sequences of fuzzy numbers and a Tauberian theorem, Generalization of the space $l(p)$ derived by absolute Euler summability and matrix operators, Some topological and geometric properties of generalized Euler sequence space, A weighted mean Hausdorff type operator and its summability matrix domain, Matrix transformations and compact operators on the binomial sequence spaces, The matrix domain and the spectra of a generalized difference operator, Compact operators on spaces of binomial fractional difference sequences, Sequence spaces derived by the triple band generalized Fibonacci difference operator, On matrix domains of triangles, The binomial sequence spaces which include the spaces $\ell_{p}$ and $\ell_{\infty}$ and geometric properties, The binomial sequence spaces of nonabsolute type, On sequence spaces defined by the domain of tribonacci matrix in $c_0$ and $c$, Some new paranormed difference sequence spaces and weighted core, On the Gamma Spaces Including the Spaces of Absolutely p-Summable, Null, Convergent and Bounded Sequences, On non-absolute type spaces and their Köthe-Toeplitz duals, Domain of the double sequential band matrix in the classical sequence spaces, Some new sequence spaces derived by the domain of generalized difference matrix, On some new difference sequence spaces of non-absolute type, On some new sequence spaces of non-absolute type and matrix transformations, Some topological and geometrical properties of new Banach sequence spaces, Paranormed sequence space of non-absolute type founded using generalized difference matrix, Banach spaces and inequalities associated with new generalization of Cesàro matrix, A new almost convergent sequence space defined by Schröder matrix, Norm inequalities involving upper bounds for certain matrix operators on Orlicz-Euler and Orlicz-Taylor double sequence spaces, On the $B$-difference sequence space derived by generalized weighted mean and compact operators, $q$-Fibonacci sequence spaces and related matrix transformations, New spaces over modulus function, Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals, On sequence space derived by the domain of $q$-Cesàro matrix in $\ell_p$ space and the associated operator ideal, On some new paranormed Euler sequence spaces and Euler core, On some properties of new paranormed sequence space of nonabsolute type, Matrix mappings on the domains of invertible matrices, Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces, Some properties of Generalized Fibonacci difference bounded and $p$-absolutely convergent sequences, Some generalizations of the space $bv_{p}$ of $p$-bounded variation sequences, On absolute Euler spaces and related matrix operators, A note on compact operators on matrix domains, On compact operators and some Euler $B^{(m)}$-difference sequence spaces, Some topological and geometrical properties of a new difference sequence space, Generalization of the Absolute Cesàro Space and Some Matrix Transformations, On generalized means and some related sequence spaces, A new paranormed series space using Euler totient means and some matrix transformations, The Cesàro-gamma operator and its associated sequence space, Unnamed Item, On generalized $(p,q)$-Euler matrix and associated sequence spaces, The spectrum of the generalized difference operatorB_v^(m)over the sequence space ℓ_p(1 <p< ∞, Poisson like matrix operator and its application in $p$-summable space, Matrix transformations on some sequence spaces related to strong Cesàro summability and boundedness, Banach spaces of absolutely $k$-summable series, On the factorable spaces of absolutely $p$-summable, null, convergent, and bounded sequences, On some imbedding relations between certain sequence spaces, A study on Copson operator and its associated sequence space. II, Some $\ell (p)$-type new sequence spaces and their geometric properties, Cesàro spaces and norm of operators on these matrix domains, A New Banach Space Defined By Euler Totient Matrix Operator, On the domain of $q$-Euler matrix in $c_0$ and $c$, Binomial Operator as a Hausdorff Operator of the Euler Type, Cesàro sequence spaces via $(p, q)$-calculus and compact matrix operators, Unnamed Item, SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX, Some Geometric Characterizations of a Fractional Banach Set, On sequence spaces defined by arithmetic function and Hausdorff measure of noncompactness, A note on matrix domains of Copson matrix of order α and compact operators

Cites Work

On the Euler sequence spaces which include the spaces \(\ell _{p}\) and \(\ell _{\infty}\). II