Sequence Spaces Associated with Fractional Copson Matrix and Compact Operators
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DOI: 10.1007/s00025-021-01410-9
Abstract: In this research, we introduce the fractional Copson matrix and define the associated sequence spaces. We investigate the inclusion relations, dual spaces and matrix transformations of these new sequence spaces. Moreover, investigating the compactness of… read more here.
Keywords: matrix; fractional copson; sequence spaces; copson matrix ... See more keywords
Matrix transformations and compact operators on Catalan sequence spaces
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DOI: 10.1016/j.jmaa.2021.124925
Abstract: Abstract This paper is devoted to the study of domain of a recently defined conservative matrix in the spaces of p-absolutely summable sequences and bounded sequences. The aforementioned matrix is obtained by using the fascinating… read more here.
Keywords: matrix transformations; sequence spaces; catalan sequence; transformations compact ... See more keywords
Some Characterizations of Riesz- Valued Sequence Spaces Generated by an Order ϕ-Function
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DOI: 10.1080/01630563.2017.1351987
Abstract: ABSTRACT In this paper, we introduce an order ϕ-function on a Riesz space. Further, we construct a Riesz- Valued Sequence spaces using the ϕ-function and obtain the condition to characterize these spaces. read more here.
Keywords: valued sequence; sequence spaces; riesz valued; order function ... See more keywords
On λ-convergence and λ-boundedness of mth order
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DOI: 10.1080/03610926.2019.1692032
Abstract: Abstract In the present paper, we introduce the notion of λm -convergence and λm -boundedness. We examine the relationship of these notions between of the ordinary convergence and ordinary boundedness, respectively. We also introduce new… read more here.
Keywords: convergence boundedness; sequence spaces; boundedness mth; boundedness ... See more keywords
Surjective Homomorphisms from Algebras of Operators on Long Sequence Spaces are Automatically Injective
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DOI: 10.1093/qmath/haaa066
Abstract: We study automatic injectivity of surjective algebra homomorphisms from $\mathscr{B}(X)$, the algebra of (bounded, linear) operators on $X$, to $\mathscr{B}(Y)$, where $X$ is one of the following \emph{long} sequence spaces: $c_0(\lambda)$, $\ell_{\infty}^c(\lambda)$, and $\ell_p(\lambda)$ ($1… read more here.
Keywords: long sequence; algebras operators; surjective homomorphisms; sequence spaces ... See more keywords
Sequence spaces M(ϕ)$M(\phi)$ and N(ϕ)$N(\phi)$ with application in clustering
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DOI: 10.1186/s13660-017-1333-z
Abstract: Distance measures play a central role in evolving the clustering technique. Due to the rich mathematical background and natural implementation of lp$l_{p}$ distance measures, researchers were motivated to use them in almost every clustering process.… read more here.
Keywords: distance; sequence spaces; sequence; phi phi ... See more keywords
Some normed binomial difference sequence spaces related to the ℓp$\ell_{p}$ spaces
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DOI: 10.1186/s13660-017-1401-4
Abstract: The aim of this paper is to introduce the normed binomial sequence spaces bpr,s(∇)$b^{r,s}_{p}(\nabla)$ by combining the binomial transformation and difference operator, where 1≤p≤∞$1\leq p\leq\infty$. We prove that these spaces are linearly isomorphic to the… read more here.
Keywords: binomial difference; sequence spaces; difference sequence; normed binomial ... See more keywords
Binomial difference sequence spaces of fractional order
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DOI: 10.1186/s13660-018-1873-x
Abstract: In this paper, we introduce the sequence spaces b0r,s(∇(α))$b^{r,s}_{0}( \nabla^{(\alpha)})$, bcr,s(∇(α))$b^{r,s}_{c}(\nabla^{(\alpha)})$, and b∞r,s(∇(α))$b^{r,s}_{\infty }(\nabla^{(\alpha)})$. We investigate some functional properties, inclusion relations, and the α-, β-, γ-, and continuous duals of these sets. read more here.
Keywords: binomial difference; sequence spaces; spaces fractional; difference sequence ... See more keywords
A Survey On Some Paranormed Sequence Spaces
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DOI: 10.2298/fil1704099m
Abstract: This paper presents a survey of most of the known fundamental results involving the sequence spaces l(p), c0(p), c(p) and l1(p), w0(p), w(p) and w1(p), f0(p) and f(p). These spaces are generalizations of the classical… read more here.
Keywords: survey paranormed; sequence spaces; paranormed sequence; survey ... See more keywords
Solvability of some perturbed sequence spaces equations with operators
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DOI: 10.2298/fil1911509m
Abstract: In this paper, we apply the results stated in [19] to the solvability of the sequence spaces equations (SSE) ?+Fx = Fb, where ?,F are linear spaces of sequences and b; x are positive sequences… read more here.
Keywords: perturbed sequence; equations operators; solvability perturbed; sequence spaces ... See more keywords
M-constants in Orlicz-Lorentz sequence spaces with applications to fixed point theory
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DOI: 10.24193/fpt-ro.2018.1.11
Abstract: In this paper some estimates of M -constants in Orlicz-Lorentz sequence spaces for both, the Luxemburg and the Amemiya norms are given. Since degenerated Orlicz functions φ and degenerated weighted sequences ω are also admitted,… read more here.
Keywords: orlicz lorentz; sequence spaces; point theory; lorentz sequence ... See more keywords