Weak compactness criteria in symmetric spaces of measurable operators
The principal result of the paper reduces the study of certain weakly compact sets in Banach spaces of measurable operators to that of the corresponding sets of generalized singular value functions. In particular, under natural conditions, it is shown that the orbit of a relatively weakly compact su...
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 2001-09, Vol.131 (2), p.363-384 |
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| container_title | Mathematical proceedings of the Cambridge Philosophical Society |
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| creator | DODDS, P. G. SUKOCHEV, F. A. SCHLÜCHTERMANN, G. |
| description | The principal result of the paper reduces the study of certain weakly compact
sets in Banach spaces of measurable operators to that of the corresponding sets
of generalized singular value functions. In particular, under natural conditions, it
is shown that the orbit of a relatively weakly compact subset of the Köthe dual
of a symmetric space of measurable operators affiliated with some semi-finite von
Neumann algebra is again relatively weakly compact. |
| doi_str_mv | 10.1017/S0305004101005114 |
| format | Article |
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sets in Banach spaces of measurable operators to that of the corresponding sets
of generalized singular value functions. In particular, under natural conditions, it
is shown that the orbit of a relatively weakly compact subset of the Köthe dual
of a symmetric space of measurable operators affiliated with some semi-finite von
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sets in Banach spaces of measurable operators to that of the corresponding sets
of generalized singular value functions. In particular, under natural conditions, it
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sets in Banach spaces of measurable operators to that of the corresponding sets
of generalized singular value functions. In particular, under natural conditions, it
is shown that the orbit of a relatively weakly compact subset of the Köthe dual
of a symmetric space of measurable operators affiliated with some semi-finite von
Neumann algebra is again relatively weakly compact.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0305004101005114</doi><tpages>22</tpages></addata></record> |
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| issn | 0305-0041 1469-8064 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| title | Weak compactness criteria in symmetric spaces of measurable operators |
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