Ein neuer Zugang zu den Hahn-Banach Sätzen von Anger und Lembcke. (A new approach to the Hahn-Banach theorems of Anger and Lembcke) (Q1070169)

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scientific article; zbMATH DE number 3933749
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Ein neuer Zugang zu den Hahn-Banach Sätzen von Anger und Lembcke. (A new approach to the Hahn-Banach theorems of Anger and Lembcke)
scientific article; zbMATH DE number 3933749

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    Ein neuer Zugang zu den Hahn-Banach Sätzen von Anger und Lembcke. (A new approach to the Hahn-Banach theorems of Anger and Lembcke) (English)
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    1985
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    Using an approximation method new proofs are given for some Hahn-Banach theorems due to \textit{B. Anger} and \textit{J. Lembcke} [Math. Ann. 209, 127- 151 (1974; Zbl 0268.46006) and Math. Scand. 47, 251-265 (1980; Zbl 0427.46004)]. As shown in a subsequent paper [Arch. Math. 45, 463-467 (1985; Zbl 0555.46005)] the method can be used to obtain approximation and extension theorems for convex functions.
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    hypolinear functionals
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    Hahn-Banach theorems
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    approximation and extension theorems for convex functions
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