A banach space containing non-trivial limited sets but no non-trivial bounding sets |
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| Authors: | Bengt Josefson |
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| Institution: | 1. Department of Mathematics, University of Link?ping, S-581 83, Link?ping, Sweden
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| Abstract: | An example of a Banach spaceE is given with the following properties: Every bounding setA⊂E (i.e.f(A) is bounded for each holomorphic functionf:E →C) is relatively compact but there are relatively non-compact limited setsA (i.e.T(A) is relatively compact for each bounded linear mapT:E →c
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