Results 151 to 160 of about 482 (178)

Lebesgue Constraints for an Orthogonal Polynomial Schauder Basis

Journal of Computational Analysis and Applications, 2000
The paper contains a clear exposition of the ideas and methods used in the construction of a class of orthogonal polynomial Schauder bases of optimal degree for the space \(C[-1,1]\) with the Chebyshev weight of the first kind. The authors give also all details of the proof for the estimation of the Lebesgue constants of those bases.
Girgensohn, Roland, Prestin, Jürgen
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Quasiunconditional Basis Property of the Faber–Schauder System

Ukrainian Mathematical Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigoryan, G. M., Krotov, V. G.
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SCHAUDER BASIS DETERMINING PROPERTIES

Acta Mathematica Scientia, 1992
The 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, 1983
The author constructs a separable Banach space of type VMO (functions with vanishing mean oscillation) having no Schauder basis.
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On the Construction of Sequence Spaces that have Schauder Bases

Canadian Journal of Mathematics, 1966
It 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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The Franklin System as Schauder Basis for L p μ [ 0, 1 ]

Proceedings of the American Mathematical Society, 1988
Let \(\mu\) 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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The Schauder basis in the solution space of a homogeneous convolution equation

Mathematical Notes, 1995
As stated in the title, the author shows that the solution space of a homogeneous convolution equation has a Schauder basis. More precisely, let \(D\) be a convex domain in the complex plane \(C\), and let \(u\) be an analytic functional of \(H^*(D)\) where \(H(D)\) is the space of analytic functions in \(D\) with uniform topology on compact sets of ...
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On Closed Subspaces of Non-Archimedean Nuclear Fréchet Spaces with a Schauder Basis

The Journal of Geometric Analysis, 2013
The 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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