Existence and characterization of best \(\varphi\)-approximations by linear subspaces

DOI10.1515/apam-2015-0069zbMath1380.46023OpenAlexW2726748125MaRDI QIDQ2360535

Ana Benavente, Fabián E. Levis, Sergio Favier

Publication date: 4 July 2017

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2015-0069

zbMATH Keywords

Orlicz spacesbest approximationcharacterization of best approximation operators

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) Best approximation, Chebyshev systems (41A50)

Related Items (1)

On a generalization of the extended best polynomial approximation operator in Orlicz–Lorentz spaces

Cites Work

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• Characterizations of conditional expectation as a transformation on function spaces
• Characterization of p-Predictors
• A Characterization of the Extended Best φ-Approximation Operator
• Measurable Subspaces and Subalgebras
• Best approximants in L ? -spaces
• A Characterization of Best Φ-Approximants
• Best approximants in L 1 space
• Almost everywhere convergence of prediction sequence in L p (1 < p < ?)
• Characterizations of Conditional Expectations
• A Characterization of a Conditional Expectation with Respect to a $\Sigma$- Lattice

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