Title of article
Uniform convergence on weakly compact subsets
Author/Authors
Beer، نويسنده , , Gerald، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
4
From page
526
To page
529
Abstract
Using a theorem of Kadets, we construct on an arbitrary infinite dimensional Banach space X equipped with the weak topology a sequence of real-valued continuous functions convergent uniformly on weakly compact subsets to a discontinuous limit.
Keywords
Uniform convergence on weak compacta , Preservation of continuity , k-Space , Kadets sequence , Hemicompact space , Banach space , weak compactness , Compact convergence
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562795
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