Results 101 to 110 of about 9,818 (190)
Almost Sequence Spaces Derived by the Domain of the Matrix
Abstract and Applied Analysis, 2013 By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively.
Ali Karaisa, Ümıt Karabıyık
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Schauder Basis with Finite Blaschke Products
We construct a Schauder basis for the space $Hol(\mathbb D)$, the space of holomorphic functions on the closed unit disk, consisting entirely of finite Blaschke products. The expansion coefficients are given explicitly. Our result remains valid when $Hol(\mathbb D)$ is equipped with a broader class of norms satisfying natural structural conditions ...
Fricain, Emmanuel +3 more
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On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces
Communications in Advanced Mathematical SciencesIn this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms ...
Seçkin Yalçın, Yılmaz Yılmaz
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SCHAUDER BASIS AND SEQUENCER SPACES IN GENERAL TOPOLOGICAL VECTOR SPACES
Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)Minkowski functionals of balanced neighbourhoods of zero are used to define sequence spaces in which sequences are sequences in general non locally convex topological vector spaces. The classical result “Every basis in a complete metrizable \linebreak topological vector space is a Schauder basis” is generalized for such sequence spaces.
Moorthy, C. Ganesa +1 more
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Remarks on the FPP in Banach spaces with unconditional Schauder basis
, 2023 This paper brings new results on the FPP in Banach spaces $X$ with a Schauder basis. We first deal with the problem of whether there is a Banach space isomorphic to $\co$ having the FPP. We show that the answer is negative if $X$ contains a pre-monotone basic sequence equivalent to the unit basis of $\co$.
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On the Generalized Bm-Riesz Difference Sequence Space and β-Property
Journal of Inequalities and Applications, 2009 We introduce the generalized Riesz difference sequence space rq(p,Bm) which is defined by rq(p,Bm)={x=(xk)∈w:Bmx∈rq(p)} where rq(p) is the Riesz sequence space defined by Altay and Başar.
Metin Başarir +1 more
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The binomial sequence spaces of nonabsolute type
Journal of Inequalities and Applications, 2016 In this paper, we introduce the binomial sequence spaces b 0 r , s $b^{r,s}_{0}$ and b c r , s $b^{r,s}_{c}$ of nonabsolute type which include the spaces c 0 $c_{0}$ and c, respectively.
Mustafa Cemil Bişgin
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On compactoidity in non-archimedean locally convex spaces with a Schauder basis
Indagationes Mathematicae (Proceedings), 1988 A subset A of a locally convex space E over a non-archimedean non- trivially valued complete field K is compactoid if for each zero neighborhood V in E there exists a finite set \(F\subseteq E\) such that \(A\leq V+C(F)\) where C(F) is the absolutely convex hull of F. It is a pure compactoid if in the above we can choose \(F\leq A.\) Gruson and Van Der
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On the Nevanlinna's Theory for Vector-Valued Mappings
Abstract and Applied Analysis, 2010 The purpose of this paper is to establish the first and second fundamental theorems for an E-valued meromorphic mapping from a generic domain D⊂ℂ to an infinite dimensional complex Banach space E with a Schauder basis. It is a continuation of the work of
Zu-Xing Xuan, Nan Wu
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Journal of Inequalities and Applications, 2016 In this work, we introduce the binomial sequence spaces b p r , s $b^{r,s}_{p}$ and b ∞ r , s $b^{r,s}_{\infty}$ which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell _{\infty}$ , in turn. Moreover, we show that the spaces b p r , s $b^{r,s}_{p}$ and b ∞
Mustafa Cemil Bişgin
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