Some new spaces of double sequences

DOI10.1016/j.jmaa.2004.12.020zbMath1093.46004OpenAlexW1975989731MaRDI QIDQ2567295

Publication date: 29 September 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.020

zbMATH Keywords

matrix mappings double sequence space $\beta$-duals paranormed sequence space $\alpha$--duals

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45)

Related Items

Four-dimensional generalized difference matrix and some double sequence spaces, The entire sequence over Musielak $p$-metric space, Rough $\mathcal{I}_2$-lacunary statistical convergence of double sequences, On the domain of difference double sequence spaces of arbitrary orders, Asymptotically lacunary statistical equivalence of double sequences of sets, Unnamed Item, On Rough ℐ₂-Convergence of Double Sequences, Certain topological properties and duals of the domain of a triangle matrix in a sequence space, Unnamed Item, Regularly $(\mathcal I_2, \mathcal I)$-convergence and regularly $(\mathcal I_2, \mathcal I)$-Cauchy double sequences of fuzzy numbers, Ideal statistically limit points and ideal statistically cluster points of triple sequences of fuzzy numbers, Lacunary statistical convergence of double sequences of sets, Generalization of the sequence space $\ell (p)$ derived by weighted mean, Some spaces of double sequences obtained through invariant mean and related concepts, On boundedness of four-dimensional Hausdorff matrices on the double Taylor sequence spaces, On the paranormed spaces of regularly convergent double sequences, Fractional difference double sequences of fuzzy numbers, Modularly weighted four dimensional matrix summability with application to Korovkin type approximation theorem, Applications of double lacunary sequences to $n$-norm, On relative weighted summability in modular function spaces and associated approximation theorems, Multipliers for bounded $\ell_2$-convergence of double sequences, A novel sequence space related to $\mathcal{L}_{p}$ defined by Orlicz function with application in pattern recognition, The generalized $\chi^{2}$ sequence spaces over $p$-metric spaces defined by Musielak, 4d first order $q$-Euler matrix operator and its domain in the space $\mathcal{L}_s$, Norm inequalities involving upper bounds for certain matrix operators on Orlicz-Euler and Orlicz-Taylor double sequence spaces, New convergence definitions for double sequences in g-metric spaces, Some Tauberian theorems for the weighted mean method of summability of double sequences, $\mu$-statistical convergent double lacunary sequence spaces, On the difference spaces of almost convergent and strongly almost convergent double sequences, On Difference Double Sequences and Their Applications, $\mu$-lacunary $\chi_{A_{uv}}^2$-convergence of order $\alpha$ with $p$-metric defined by $mn$ sequence of moduli Musielak, $q$-Cesàro double sequence space $\widetilde{\mathcal{L}}_s^q$ derived by $q$-analog, Unnamed Item, Generalized almost convergence and core theorems of double sequences, Double sequence spaces by means of Orlicz functions, Ideal convergent sequence spaces over $p$-metric spaces defined by Musielak-modulus functions, Almost conservative four-dimensional matrices through de la Vallée-Poussin mean, Bertrand curves of $\mathrm{AW}(k)$-type in the equiform geometry of the Galilean space, Some topological properties of the spaces of almost null andalmost convergent double sequences, On Wijsman $\mathcal{I}_{2}$-lacunary statistical convergence for double set sequences, On the paranormed space of bounded variation double sequences, Weighted Statistical Relative Invariant Mean in Modular Function Spaces with Related approximation Results, Domain of Riesz mean in some spaces of double sequences, Sequence spaces $M(\phi)$ and $N(\phi)$ with application in clustering, Unnamed Item, Domain of the generalized double Cesàro matrix in some paranormed spaces of double sequences, Unnamed Item, Double sequence spaces over $n$-normed spaces defined by a sequence of Orlicz functions, On the Euler sequence spaces which include the spaces $\ell_{p}$ and $\ell_{\infty}$. I, Some paranormed sequence spaces of non-absolute type derived by weighted mean, $AK(\vartheta)$-property of double series spaces, Domain of Euler-totient matrix operator in the space $\mathcal{L}_{p}$, A new RH-regular matrix derived by Jordan's function and its domains on some double sequence spaces, Regularly $\sigma $-conservative and $\sigma $-coercive four dimensional matrices, Unnamed Item, Regularly ideal invariant convergence of double sequences, Statistical Summability of Double Sequences by the Weighted Mean and Associated Approximation Results, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, On the domain of Riesz mean in the space Ls, On fractional double difference sequences and their statistical convergence, Wijsman lacunary invariant statistical convergence for triple sequences via Orlicz function, Unnamed Item, Influence of θ-metric spaces on the diameter of rough weighted I2-limit set, Solvability of infinite systems of fractional differential equations in the double sequence space $2^c (\triangle)$, On the spaces ℬ𝒱𝜗0 of double sequences of bounded variation, Generalized spaces of double sequences for Orlicz functions and bounded-regular matrices over $n$-normed spaces, Unnamed Item

Cites Work