A note on Nakano generalized difference sequence space

DOI10.1186/s13662-020-03082-1zbMath1487.46003OpenAlexW3096306512MaRDI QIDQ2144087

Awad A. Bakery, Afaf R. Abou Elmatty

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-03082-1

zbMATH Keywords

Fredholm operatormultiplication operatorgeneralized differenceapproximable operatorpremodularsimple Banach space

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Banach sequence spaces (46B45)

Related Items (8)

Decision-making on the solution of a stochastic nonlinear dynamical system of Kannan-type in new sequence space of soft functions ⋮ Kannan contraction maps on the space of null variable exponent second-order quantum backward difference sequences of fuzzy functions and its pre-quasi ideal ⋮ Prequasiideal of the type weighted binomial matrices in the Nakano sequence space of soft functions with some applications ⋮ Unnamed Item ⋮ Orlicz generalized difference sequence space and the linked pre-quasi operator ideal ⋮ Kannan contraction operator on the domain of \(r(.)\)-Cesàro matrix in \(\ell_{t(.)}\) and related prequasi ideal with an application of nonlinear difference equations ⋮ Some applications of new complex function space constructed by different weights and exponents ⋮ \((r_1,r_2)\)-Cesàro summable sequence space of non-absolute type and the involved pre-quasi ideal

Cites Work

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• Compactness of matrix operators on some new difference sequence spaces
• Generalization of the sequence space \(\ell (p)\) derived by weighted mean
• Domain of the Nörlund matrix in some of Maddox's spaces
• Matrix transformations of Nörlund-Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
• Small operator ideals formed by \(s\) numbers on generalized Cesàro and Orlicz sequence spaces
• Some properties of pre-quasi operator ideal of type generalized Cesáro sequence space defined by weighted means
• On sequence space derived by the domain of \(q\)-Cesàro matrix in \(\ell_p\) space and the associated operator ideal
• On Certain Sequence Spaces
• Small ideals of operators
• Vector valued Orlicz-Lorentz sequence spaces and their operator ideals

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