a subspace of l2(x) without the approximation property
| dc.contributor.advisor | anisca, razvan | |
| dc.contributor.author | chlebovec, christopher | |
| dc.date.accessioned | 2012-11-10t19:06:23z | |
| dc.date.available | 2012-11-10t19:06:23z | |
| dc.date.created | 2010-08 | |
| dc.date.issued | 2012-11-10 | |
| dc.identifier.uri | http://knowledgecommons.lakeheadu.ca/handle/2453/149 | |
| dc.description.abstract | the aim of the thesis is to provide support to the following conjecture, which would provide an isomorphic characterization of a hilbert space in terms of the approximation property: an infinite dimensional banach space x is isomorphic to l₂ if and only if every subspace of l₂ (x) has the approximation property. we show that if x has cotype 2 and the sequence of euclidean distances {dn(x *)}n of x * satisfies dn (x *) ≥ α(log2 n )β for all n ≥ 1 and some absolute constants α > 0 and β > 4, then [cursive l] 2 (x ) contains a subspace without the approximation property. | en_us |
| dc.language.iso | en_us | en_us |
| dc.subject | mathematics | en_us |
| dc.subject | banach algebras | en_us |
| dc.title | a subspace of l2(x) without the approximation property | en_us |
| dc.type | dissertation | en_us |
| etd.degree.name | m.sc. | en_us |
| etd.degree.level | master | en_us |
| etd.degree.discipline | mathematical sciences | en_us |
| etd.degree.grantor | 阿根廷vs墨西哥竞猜 | en_us |
