Continuous function spaces with integral norms

DOI10.1007/BF02995909zbMath0224.46022OpenAlexW2049831975MaRDI QIDQ2548405

B. D. Anderson, E. W. Cheney

Publication date: 1971

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02995909

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Measures and integration on abstract linear spaces (46G12)

Cites Work

• Some complemented function spaces in \(C(X)\)
• Projections on continuous function spaces
• An extension of Tietze's theorem
• On approximation of continuous functions in the metric $\int_a^b |x(t)| dt$
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Subspaces of C(H) Which are Direct Factors of C(H)
• Approximation in the Metric of L 1 (X,μ)
• The Existence and Unicity of Best Approximations.

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