Results 21 to 30 of about 9,778 (190)
Generalised cosine functions, basis and regularity properties [PDF]
, 2015 We examine regularity and basis properties of the family of rescaled $p$-cosine functions. We find sharp estimates for their Fourier coefficients. We then determine two thresholds, $p_02$, such that this family is a Schauder basis of $L_s(0,1)$ for all ...
Boulton, Lyonell, Melkonian, Houry
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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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A New Paranormed Sequence Space Defined by Regular Bell Matrix
Dera Natung Government College Research Journal, 2023 This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ− duals are presented and Schauder basis is determined.
Murat Karakaş, Muhammet Cihat Dağlı
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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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Isomorphic Schauder decompositions in certain Banach spaces [PDF]
, 2013 We extend a theorem of Kato on similarity for sequences of projections in Hilbert spaces to the case of isomorphic Schauder decompositions in certain Banach spaces.
Marchenko, Vitalii
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Continuous lattice ordering by Schauder basis cones [PDF]
Proceedings of the American Mathematical Society, 1971 Let (E, τ \tau ) be a barrelled Hausdorff space lattice ordered by the cone of an unconditional Schauder basis ( x n , f n ) ({x_n},{f_n}) . It is shown that under such an ordering (E, T) is a
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Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces
Journal of Function Spaces and Applications, 2013 The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces. g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
Xunxiang Guo
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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 \varepsilon > 0 and any 0 > δ > 1 / 2 0 > \delta > 1/2 , a random n n -dimensional subspace E E of l ...
Piotr Mankiewicz +1 more
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On classes of Banach spaces admitting "small" universal spaces [PDF]
, 2008 We characterize those classes $\ccc$ of separable Banach spaces admitting a separable universal space $Y$ (that is, a space $Y$ containing, up to isomorphism, all members of $\ccc$) which is not universal for all separable Banach spaces.
Dodos, Pandelis
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