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Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Agresti A, Veraar M.
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SEIQRS model analysis and optimal control with two delays. [PDF]
Wang J, Zhong L, Chang X.
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Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]
Oh T, Tolomeo L, Wang Y, Zheng G.
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Lebesgue Constraints for an Orthogonal Polynomial Schauder Basis
Journal of Computational Analysis and Applications, 2000The 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, 2019zbMATH 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, 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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