Results 151 to 160 of about 9,771 (187)

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

open access: yesCommun Math Phys
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, 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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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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