Exposing functionals on C(Q)

DOI10.1016/0021-9045(84)90111-4zbMath0548.41020OpenAlexW2088979447MaRDI QIDQ799885

N. E. Zubov

Publication date: 1984

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90111-4

zbMATH Keywords

Borel measureHausdorff distanceChebyshev hyperspaceexposing 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) Metric spaces, metrizability (54E35) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• Cebysev subspaces of finite codimension in \(C(X)\)
• A Representation Theorem for Bounded Convex Sets
• A proof that every Banach space is subreflexive
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