On a property of the Franklin system in \(C[0, 1]\) and \(L^1[0, 1]\)

DOI10.1134/S0001434620010289zbMath1456.46017OpenAlexW3010402324MaRDI QIDQ2191963

Vazgen Gagik Mikayelyan

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620010289

zbMATH Keywords

Franklin systembounded completenessmonotonically bounded completeness

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Cites Work

• Unnamed Item
• Unnamed Item
• On series with respect to the Franklin system
• Unboundedness of the shift operator with respect to the Franklin system in the space \(L_ 1\)
• Some inequalities for Franklin series
• Bounded completeness and Schauder's basis for C[0, 1]
• Properties of the orthonormal Franklin system, II

This page was built for publication: On a property of the Franklin system in \(C[0, 1]\) and \(L^1[0, 1]\)