Nonexistence of Besselian basis in C(S)

DOI10.1016/0022-1236(80)90027-0zbMath0504.46017OpenAlexW2093535635MaRDI QIDQ1836123

Stanislaw J. Szarek

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90027-0

zbMATH Keywords

Hilbert basisBessel basisBesselian basis

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

Bases and biorthogonal systems in the spaces \(C\) and \(L^1\) ⋮ On Bases in the Disc Algebra ⋮ Limits of signal processing performance under thresholding ⋮ The moment problem in the space \(C_ 0(S)\) ⋮ Signal and System Approximation from General Measurements

Cites Work

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• Some problems on bases in Banach and Frechet spaces
• The \(L_ p\) spaces
• On subspaces of L\(^p\)
• Über unbedingte Konvergenz in Funktionenraümen (I)
• Absolut p-summierende Abbildungen in normierten Räumen
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• On some properties of p-nuclear and p-integral operators
• p-nukleare und p-integrale Abbildungen in Banachräumen
• Existence of some special bases in Banach spaces

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