Sequence Space
On matrix transformations concerning the Nakano vector valued sequence space
... vector-valued sequence space (X, p) and F r (X, p) into the sequence spaces E r , ∞ , ∞ (q), bs, and cs, where p = (p k ) and q = (q k ) are bounded sequences of positive real numbers such that p k ...
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Bounds for the norm of lower triangular matrices on the Cesàro weighted sequence space
... Bounds for the norm of lower triangular matrices on the Cesàro weighted sequence space Davoud Foroutannia* and Hadi Roopaei *.. Correspondence: [email protected] Department of Mathemati[r] ...
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On 2 - normed space valued paranormed null sequence space
... on sequence spaces were initiated by Maddox [12] and many ...paranormed sequence spaces and function spaces. A sequence space S is said to be normal if ξ – = (ξ k ) ∈ S and α – = (α k ) a ...
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Cesàro summable difference sequence space
... During the last years, a large amount of work has been carried out by many mathemati- cians regarding various generalizations of difference sequence spaces of Kizmaz. Keeping aside some exceptions (see, for ...
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On Casaro Sequence Space of Fuzzy Numbers Defined by a Modulus Function
... And subsequently several authors have discussed the properties of fuzzy sets such as fuzzy topological spaces, similarity relations and fuzzy orderings, fuzzy measures of fuzzy events, f[r] ...
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Mappings of type Orlicz and generalized Cesáro sequence space
... the space of all bounded linear operators from a normed space X into a normed space ...the space of all real ...unique sequence (s n (T )) ∞ n= is called an s-function and ...
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Some Geometric Inequalities in a New Banach Sequence Space
... In this paper, we will consider the case 1 < p < ∞ to study some geometric properties of m(φ, p, Δ ( r ) ). We will examine the Banach-Saks property of type p, strict convexity and uniform convexity. The ...
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The Semi Difference Entire Sequence Space 𝑐𝑠∩𝑑1
... coordinate space is a Fr´echet space which is made up of numerical sequences and has the property that the coordinate functionals p k x x k k 1, 2, 3, ...
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On some properties of new paranormed sequence space defined by λ2 convergent sequences
... the sequence x is said to be A-summable to a ∈ C if Ax converges to a which is called the A-limit of ...every sequence x ∈ X the A-transform of x exists and is in Y ...
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Tools for probing 2A sequence space
... N-terminal sequence of the major capsid protein (MCP) and ORF2, which encodes a 85 kDa protein that contains a series of motifs characteristic of an RNA-dependent RNA polymerase (RdRp) (Poulos et ...share ...
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On the Generalized Riesz Difference Sequence Space and Property
... By λ : μ, we denote the class of all matrices A such that A : λ → μ. Thus, A ∈ λ : μ if and only if the series on the right side of 2.1 converges for each n ∈ N and every x ∈ λ, and we have Ax {Ax n } n∈N ∈ μ for all x ∈ ...
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Some properties of the sequence space
... 1. Banach, S: Theorie des Operations Linearies, Subwncji Funduszu Narodowej, Warszawa (1932) 2. Lorentz, GG: A contribution the theory of divergent series. Acta Math. 80, 167-190 (1948) 3. Schaefer, P: Infinite matrices ...
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On some topological properties of generalized difference sequence spaces
... the sequence spaces ∆ m (X), where ∆ m (X) = {x = (x k ) : (∆ m x k ) ∈ X}, (m ∈ N), and X is any sequence ...the sequence spaces ∆ m (l ∞ ),∆ m (c), and ∆ m (c 0 ...
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Some properties of Banach valued sequence spaces ℓp[X]
... Abstract. We discuss some properties of the Banach-valued sequence space p [X] (1 ≤ p < ∞ ), the space of weakly p-summable sequences on a Banach space X. For example, we characterize the ...
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PARAMETRIC CONVERGENCE IMPLIES PROJECTIVE CONVERGENCE IN THE DUAL SPACE OF A FUNCTION SPACE
... dual space of a sequence ...of sequence and sequence ...dual space was extended to the case of function ...dual space of a function space was also observed by some of the ...
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Topological Structure of Riesz Sequence Spaces
... vector space over ...a sequence space. In other words, a sequence space is a vector space whose elements are infinite scalar sequences of real or complex numbers and is closed ...
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β-Dual of Vector-Valued Double Sequence Spaces of Maddox
... respectively. All of these spaces are known as the sequence Maddox. These spaces were introduced and studied by Simons [7] and Maddox [3, 4, 5]. The space (p) was first defined by Nakano [6] and is known ...
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Vol 8, No 6 (2017)
... Key words: Difference sequence space, Modulus functions, paranorm, Modal interval numbers.. INTRODUCTION.[r] ...
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Transpose of Nörlund matrices on the domain of summability matrices
... 2 Conclusions In this paper, we consider the transpose of Nörlund matrix associated with a nonnegative and nonincreasing sequence as an operator mapping p into the sequence space Ep and [r] ...
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Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence
... there holds x n − x → 0 as n →∞ . A Banach space X is said to be rotund (R) if every point of S ( X ) is an extreme point of B ( X ). If every point of S ( X ) is an LUR -point of B ( X ), then X is said to be ...
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