Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 47: Issue 3
An invariant theorem in duality
Authors: Yunyan Yang 1 and Ronglu Li 2
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  • 1 Harbin Engineering University Department of Mathematics Harbin 150001 China
  • 2 Harbin Institute of Technology Department of Mathematics Harbin 150001 China
DOI:
https://doi.org/10.1556/sscmath.2009.1131
Page Count:
299–310
Publication Date:
01 Sep 2010
Online Publication Date:
30 Sep 2009
Article Category:
Research Article
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The concept of absolute convergence for series is generalized to locally convex spaces and an invariant theorem for absolutely convergent series in duality is established: when a locally convex space X is weakly sequentially complete, an admissible topology which is strictly stronger than the weak topology on X in the dual pair ( X,X′ ) is given such that it has the same absolutely convergent series as the weak topology in X .

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896
Keywords:
Primary 46A63, 46A35; Absolute convergence; subseries convergence; equicontinuity

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