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Super-reflexivity and the girth of spheres

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posted on 1972-01-01, 00:00 authored by Robert C. James, Juan SchafferJuan Schaffer

It is shown that a Banach space is super-reflexive if and only if the girth of its unit ball is greater than 4. Consequently, "girth greater than 4" is a property preserved under isomorphisms and duality.

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1972-01-01

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    Banach spaces.Isomorphisms (Mathematics)Mathematical Sciences not elsewhere classified

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