boundedness and surjectivity in normed spaces

Clicks: 5
ID: 207038
2002
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Abstract
We define the (w* -) boundedness property and the (w* -) surjectivity property for sets in normed spaces. We show that these properties are pairwise equivalent in complete normed spaces by characterizing them in terms of a category-like property called (w* -) thickness. We give examples of interesting sets having or not having these properties. In particular, we prove that the tensor product of two w*-thick sets in X** and Y* is a w*-thick subset in L(X,Y)* and obtain as a consequence that the set w*-expBK(l2)* is w*-thick.
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nygaard2002internationalboundedness Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Olav Nygaard
Journal structural engineering and mechanics
Year 2002
DOI
10.1155/S0161171202011596
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