Atomic decomposition for preduals of some Banach spaces
Given a Banach space E with a supremum type norm induced by a sequence L=(Lj) of linear forms Lj: X→ R on the Banach space X, we prove that if the unit ball BX is σ(X, L)- compact then E has a predual E* with an atomic decomposition. We extend results from [7] where X is assumed a reflexive Banach s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
2020-06-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/265-274.pdf |
| Summary: | Given a Banach space E with a supremum type norm induced by a sequence L=(Lj) of linear forms Lj: X→ R on the Banach space X, we prove that if the unit ball BX is σ(X, L)- compact then E has a predual E* with an atomic decomposition. We extend results from [7] where X is assumed a reflexive Banach space. |
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| ISSN: | 1120-7183 2532-3350 |