Linear continuous functionals and representation of functions by series in the spaces \(E_{\varphi}\)

DOI10.1023/A:1014316127309zbMath1003.46020MaRDI QIDQ700364

Vadim I. Filippov

Publication date: 20 October 2002

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

\(F\)-space of measurable functionslinear continuous functionals

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) General harmonic expansions, frames (42C15) Duality theory for topological vector spaces (46A20)

Related Items (4)

Perturbation of the trigonometric system in \(L_1(0,\pi)\) ⋮ Multimodular spaces and their properties ⋮ On generalization of Haar system and other function systems in spaces \(E_\phi\) ⋮ Completeness of the trigonometric system for the classes \(\varphi (L)\)

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