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Displaying similar documents to “Davis' convexity theorem and extremal ellipsoids.”

On extremal holomorphically contractible families

Marek Jarnicki, Witold Jarnicki, Peter Pflug (2003)

Annales Polonici Mathematici

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We prove (Theorem 1.2) that the category of generalized holomorphically contractible families (Definition 1.1) has maximal and minimal objects. Moreover, we present basic properties of these extremal families.