On the multiplicative completion of centered systems.

DOI10.1016/S0022-247X(03)00462-1zbMath1034.46011OpenAlexW2083820786MaRDI QIDQ1410272

Robert E. Zink, Martin G. Grigoryan

Publication date: 14 October 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00462-1

zbMATH Keywords

multiplicative completionquasibasis of \(L^p(E)\)

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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
• Subsystems of the Schauder system that are quasibases for 𝐿^{𝑝}[0,1,1≤𝑝<+∞]
• Some ramifications of a theorem of Boas and Pollard concerning the completion of a set of functions in 𝐿²
• Subsystems of the Walsh orthogonal system whose multiplicative completions are quasibases for $L^\{p\}[0,1$, $1\leq p < +\infty $]
• 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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