Basis properties of affine Walsh systems in symmetric spaces

DOI10.1070/IM8655zbMath1403.46026OpenAlexW2839870004MaRDI QIDQ4576047

Pavel A. Terekhin, Serguei V. Astashkin

Publication date: 12 July 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8655

zbMATH Keywords

Walsh functionsRademacher functionssymmetric spacebasisHaar functionsaffine Walsh-type system

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

Related Items (1)

Sequences of dilations and translations equivalent to the Haar system in \(L^p\)-spaces

Cites Work

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• Rademacher series in symmetric spaces
• Tensor product in symmetric function spaces
• Multiplicator space and complemented subspaces of rearrangement invariant space.
• Multishifts in Hilbert spaces
• Affine Riesz bases and the dual function
• Affine System of Walsh Type. Completeness and Minimality
• Shifts on Hilbert spaces.
• Symmetric structures in Banach spaces
• RUC systems in rearrangement invariant spaces
• Affine Walsh-type systems of functions in symmetric spaces

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