Results 11 to 20 of about 482 (178)
Binary Operations in Metric Spaces Satisfying Side Inequalities
Mathematics, 2021 The theory of metric spaces is a convenient and very powerful way of examining the behavior of numerous mathematical models. In a previous paper, a new operation between functions on a compact real interval called fractal convolution has been introduced.
María A. Navascués +2 more
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Uniformly factoring weakly compact operators and parametrised dualisation
Forum of Mathematics, Sigma, 2021 This article deals with the problem of when, given a collection $\mathcal {C}$ of weakly compact operators between separable Banach spaces, there exists a separable reflexive Banach space Z with a Schauder basis so that every element in $\mathcal {C ...
L. Antunes, K. Beanland, B. M. Braga
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On Λ-Fibonacci difference sequence spaces of fractional order
Dera Natung Government College Research Journal, 2021 In this article, we introduce -Fibonacci difference operator of fractional order which is obtained by the composition of -Fibonacci matrix and backward fractional difference operator defined by and introduce the sequence spaces and We give some ...
Taja Yaying
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A geometrical characterization of Schauder basis [PDF]
Archiv der Mathematik, 1980 Concerning basis in a Banach space, a characterization for a weak basis to be a Schauder basis is given in terms of the geometrical behavior of the set of linear, closed hulls wich are generated by subsequences of the expansion sequences of the basis.
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Embedding subspaces of 𝑙ⁿ_{∞} into spaces with Schauder basis [PDF]
Proceedings of the American Mathematical Society, 1993 It is proved that for sufficiently small ε > 0
Piotr Mankiewicz +1 more
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Some New Cauchy Sequence Spaces
Universal Journal of Mathematics and Applications, 2018 In this paper, our goal is to introduce some new Cauchy sequence spaces. These spaces are defined by Cauchy transforms. We shall use notations $C_{\infty }\left( s,t\right) $, $C\left( s,t\right) $ and $C_{0}\left( s,t\right) ~$for these new sequence ...
Harun Polat
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Constraint Qualification with Schauder Basis for Infinite Programming Problems
Applied Mathematics & Optimization, 2023 AbstractWe consider infinite programming problems with constraint sets defined by systems of infinite number of inequalities and equations given by continuously differentiable functions defined on Banach spaces. In the approach proposed here we represent these systems with the help of coefficients in a given Schauder basis.
E. M. Bednarczuk +2 more
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The Application Domain of Infinite Matrices with Algorithms
Universal Journal of Mathematics and Applications, 2018 The purpose of this paper is twofold. First, we define the new spaces and investigate some topological and structural properties. Also, we compute dual spaces of new spaces which are help us in the characterization of matrix mappings.
Murat Kirişçi
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Orthogonal bases in a topological algebra are Schauder bases
International Journal of Mathematics and Mathematical Sciences, 1992 In a topological algebra with separately continuous multiplication, the result quoted in the title is proved.
Subbash J. Bhatt, G. M. Deheri
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Some Generalized Versions of Chevet–Saphar Tensor Norms
Mathematics, 2022 The paper is concerned with some generalized versions gE and wE of classical tensor norms. We find a Banach space E for which gE and wE are finitely generated tensor norms, and show that gE and wE are associated with the ideals of some E-nuclear ...
Ju Myung Kim
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