Author:
BONET JOSÉ,CASCALES BERNARDO
Abstract
AbstractAnswering a question of W. Arendt and M. Kunze in the negative, we construct a Banach space X and a norm closed weak* dense subspace Y of the dual X′ of X such that X, endowed with the Mackey topology μ(X,Y ) of the dual pair 〈X,Y 〉, is not complete.
Publisher
Cambridge University Press (CUP)
Cited by
8 articles.
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1. On the range of a vector measure;Proceedings of the American Mathematical Society;2020-04-09
2. Completeness in the Mackey topology by norming subspaces;Journal of Mathematical Analysis and Applications;2019-10
3. On integration in banach spaces and total sets;Quaestiones Mathematicae;2019-04-17
4. Topological Vector Spaces and Their Applications;Springer Monographs in Mathematics;2017
5. A note on Mackey topologies on Banach spaces;Journal of Mathematical Analysis and Applications;2017-01