L1 spaces fail a certain aapproximative property
In this paper the author studies some cases of Banach space that does not have the property P1. He shows that if X=ℓ1 or L1(μ) for some non-purely atomic measure μ, then X does not have the property P1. He also shows that if X=ℓ∞ or C(Q) for some infinite compact Hausdorff space Q, then X* does not...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000210 |
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