Compactness of binomial difference operator of fractional order and sequence spaces
type: Item
instance of: scholarly article
title: Compactness of binomial difference operator of fractional order and sequence spaces
zbMATH Open document ID: 1444.46005
author: Taja Yaying
author: Anupam Das
author: Bipan Hazarika
author: P. Baliarsingh
publication date: 2019-11-29T00:00:00Z
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 40C05
Mathematics Subject Classification ID: 40H05
Mathematics Subject Classification ID: 46A35
Mathematics Subject Classification ID: 46B45
Mathematics Subject Classification ID: 47B39
zbMATH DE Number: 7138897
zbMATH Keywords: binomial difference sequence space
zbMATH Keywords: difference operator \(\Delta^{(\alpha)}\)
zbMATH Keywords: Schauder basis
zbMATH Keywords: \( \alpha$-dual
zbMATH Keywords: $\beta$-dual
zbMATH Keywords: $\gamma$-dual
zbMATH Keywords: compact operator
zbMATH Keywords: Hausdorff measure of non-compactness
MaRDI profile type: Publication
full work available at URL: s12215-018-0372-8
OpenAlex ID: W2898923983
cites work: On some new Euler difference sequence spaces
cites work: On Some Euler Sequence Spaces of Nonabsolute Type
cites work: On the Euler sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\). I
cites work: Q4627167
cites work: On the classes of fractional order difference sequence spaces and their matrix transformations
cites work: Some new difference sequence spaces of fractional order and their dual spaces
cites work: On an explicit formula for inverse of triangular matrices
cites work: Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
cites work: Generalized difference sequence spaces and their dual spaces
cites work: The binomial sequence spaces of nonabsolute type
cites work: The binomial sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\) and geometric properties
cites work: On generalised Köthe-Toeplitz duals of some sequence spaces
cites work: Compact operators on the spaces \(a_{0}^{r}(\varDelta)\)and \(a_{c}^{r}(\varDelta)\)
cites work: A note on compact operators on matrix domains
cites work: On some Toeplitz matrices and their inversions
cites work: A note on paranormed difference sequence spaces of fractional order and their matrix transformations
cites work: Q4862838
cites work: On Köthe-Toeplitz duals of generalized difference sequence spaces
cites work: On some new generalized difference sequence spaces
cites work: Ordinary, absolute and strong summability and matrix transformations
cites work: On certain Euler difference sequence spaces of fractional order and related dual properties
cites work: On Certain Sequence Spaces
cites work: MATRIX TRANSFORMATIONS IN SPACES OF BOUNDED AND CONVERGENT DIFFERENCE SEQUENCES OF ORDER m
cites work: On matrix domains of triangles
cites work: Q4532032
cites work: Binomial difference sequence spaces of order \(m\)
cites work: Some Euler spaces of difference sequences of order \(m\)
cites work: Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
cites work: Q3312652
DOI: 10.1007/S12215-018-0372-8
published in: Rendiconti del Circolo Matematico di Palermo
Recommended article: Compact operators on spaces of binomial fractional difference sequences
Recommended article: On sequence spaces generated by binomial difference operator of fractional order
Recommended article: Binomial difference sequence spaces of fractional order
Recommended article: Compact operators on some Fibonacci difference sequence spaces
Recommended article: On compact operators on the Riesz \(B^m\)-difference sequence space
Recommended article: Q5039584
Recommended article: On compact operators and some Euler \(B^{(m)}\)-difference sequence spaces
Recommended article: Characterizations of compact operators on \(\ell_{p}\)-type fractional sets of sequences
Recommended article: Q5104394
Recommended article: A class of sequence spaces defined by \(l\)-fractional difference operator
description: scientific article; zbMATH DE number 7138897