Rotund complex normed linear spaces
Abstract: We show that rotundity in a complex normed linear space is equivalent to the property that for any distinct vectors x and y of unit norm, a complex number may be found for which . This leads to a natural proof of a result due to Taylor and Foguel on the uniqueness of Hahn-Banach extensions.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46B20
Retrieve articles in all journals with MSC: 46B20
Keywords: Rotund, strictly convex, Hahn-Banach extensions
Article copyright: © Copyright 1979 American Mathematical Society