Subsystems of the Walsh orthogonal system whose multiplicative completions are quasibases for $L^\{p\}[0,1]$, $1\leq p < +\infty $

DOI10.1090/S0002-9939-02-06618-2zbMath1022.42017OpenAlexW1543791466MaRDI QIDQ4787500

Robert E. Zink, Martin G. Grigoryan

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06618-2

zbMATH Keywords

Schauder basisWalsh systemcompletenessquasibasis

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (2)

On the multiplicative completion of centered systems. ⋮ Greedy approximation with respect to certain subsystems of the Walsh orthonormal system

Cites Work

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• On sets of functions that can be multiplicatively completed
• Basic Sequences in the Space of Measurable Functions
• THE REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES
• A Remarkable Series of Orthogonal Functions (II)
• Some ramifications of a theorem of Boas and Pollard concerning the completion of a set of functions in 𝐿²
• A Density Theorem for Walsh Functions
• On the Multiplicative Completion of Certain Basic Sequences in L p , 1 < p < &#8734
• The multiplicative completion of sets of functions

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