Orthogonality in nonseparable rearrangement-invariant spaces

DOI10.1070/SM9543zbMath1493.46044MaRDI QIDQ5033976

Evgeny M. Semenov, Serguei V. Astashkin

Publication date: 24 February 2022

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

zbMATH Keywords

Orlicz spaceMarcinkiewicz spacerearrangement-invariant spacenonseparable Banach spaceorthogonal element

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) Nonseparable Banach spaces (46B26)

Cites Work

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• Characterisation of orthogonality in certain Banach spaces
• The Existence and Unicity of Best Approximations.
• Orthogonality in normed linear spaces
• An extension of the notion of orthogonality to Banach spaces

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