Results 161 to 170 of about 9,778 (190)
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SCHAUDER BASIS DETERMINING PROPERTIES
Acta Mathematica Scientia, 1992The author introduces a new concept for studying the structure of a Banach space. A property \(P\) is called a ``Schauder basis determining property'' if, for each Banach space \(X\), \(X\) has property \(P\) if and only if every closed subspace of \(X\) with a Schauder basis also has property \(P\).
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VMO spaces not having Schauder basis
Analysis Mathematica, 1983The author constructs a separable Banach space of type VMO (functions with vanishing mean oscillation) having no Schauder basis.
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The Franklin System as Schauder Basis for L p μ [ 0, 1 ]
Proceedings of the American Mathematical Society, 1988Let \(\mu\) be a totally-finite Borel measure on [0,1]. According to a result of \textit{Krancberg} [Inst. Electron. Mashinostroeniya Trudy MIEM 24, 14-21 (1971)], if the Franklin system constitutes a Schauder basis for \(L^ p_{\mu}[0,1]\), for a given \(p\in [1,\infty)\), then \(\mu\) is absolutely continuous with respect to the Lebesgue measure, i.e.
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Gaps and Fatou theorems for series in Schauder basis of holomorphic functions
Complex Variables and Elliptic Equations, 2006We prove a gap theorem and the “Fatou change-of-sign theorem” [Fatou, P., 1906, Series trigonometriques e series de Taylor. Acta Mathematica, 39, 335–400] for expansions in common Schauder basis of holomorphic functions.
Lassère, Patrice, Thanh Van, Nguyen
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On Closed Subspaces of Non-Archimedean Nuclear Fréchet Spaces with a Schauder Basis
The Journal of Geometric Analysis, 2013The author continues the study that he started in 2000 about the structure of Fréchet spaces \(E\) over non-Archimedean valued fields. This time he pays attention to closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis. Let \(\Gamma\) be the family of all non-decreasing unbounded sequences of real positive numbers.
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On the Construction of Sequence Spaces that have Schauder Bases
Canadian Journal of Mathematics, 1966It is known that every Banach space which possesses a Schauder basis is essentially a space of sequences (6, Section 11.4). The primary objectives of this paper are: (1) to illustrate the close connection between sectionally bounded BK spaces and Banach spaces which have a Schauder basis, and (2) to consider some results in these theories in such a way
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Characterization of Schauder basis property of Gabor systems in local fields
Acta Scientiarum Mathematicarum, 2021Biswaranjan Behera, Nurul Md. Molla
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Schauder estimates for solutions of linear parabolic integro-differential equations
Discrete and Continuous Dynamical Systems, 2015Tianling Jin
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