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On the distance of non-reflexive spaces to the collection of all conjugate spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
We show that there exists a conjugate Banach space E = B* with a basis, such that the distance from E to the collection of all conjugate Banach spaces can be made arbitrarily large, by suitable renorming of E. This solves a problem raised by B.V. Godun, Dokl. Akad. Nauk SSSR. 236 (1977), 18–20.
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- Copyright © Australian Mathematical Society 1978
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