International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 1, Pages 39-53
Department of Mathematics #14, Lehigh University, Bethlehem 18015, Pennsylvania, USA
Received 3 October 1979
Copyright © 1981 Albert Wilansky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A Mazur space is a locally convex topological vector space such that every is continuous where is the set of sequentially continuous linear functionals on ; is studied when is of the form , a topological space, and when is the weak dual of a locally convex space. This leads to a new classification of compact spaces , those for which the weak dual of is a Mazur space. An open question about Banach spaces with weak sequentially compact dual ball is settled: the dual space need not be Mazur.