On weak convergence of iterates in quantum Lp-spaces (p≥1)
Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1-spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier Lp-spaces (1≤p<∞) affiliated to semifinite von Neumann algebras and semifinite JBW algebras without...
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Hindawi Limited
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2307 |
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doaj-04ef277f0fae4e54ab4dffd970269ac42020-11-24T20:40:15ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005142307231910.1155/IJMMS.2005.2307On weak convergence of iterates in quantum Lp-spaces (p≥1)Genady Ya. Grabarnik0Alexander A. Katz1Laura Shwartz2IBM T. J.Watson Research Center, 19 Skyline Drive, Hawthorne 10532, NY, USADepartment of Mathematics and Computer Science, St. John's College of Liberal Arts and Sciences, St. John's University, 300 Howard Avenue, DaSilva Hall 314, Staten Island 10301, NY, USADepartment of Mathematical Sciences, College of Science, Engineering and Technology, University of South Africa (UNISA), P.O. Box 392, Pretoria 0003, South AfricaEquivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1-spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier Lp-spaces (1≤p<∞) affiliated to semifinite von Neumann algebras and semifinite JBW algebras without direct summands of type I2.http://dx.doi.org/10.1155/IJMMS.2005.2307 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Genady Ya. Grabarnik Alexander A. Katz Laura Shwartz |
| spellingShingle |
Genady Ya. Grabarnik Alexander A. Katz Laura Shwartz On weak convergence of iterates in quantum Lp-spaces (p≥1) International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Genady Ya. Grabarnik Alexander A. Katz Laura Shwartz |
| author_sort |
Genady Ya. Grabarnik |
| title |
On weak convergence of iterates in quantum Lp-spaces
(p≥1) |
| title_short |
On weak convergence of iterates in quantum Lp-spaces
(p≥1) |
| title_full |
On weak convergence of iterates in quantum Lp-spaces
(p≥1) |
| title_fullStr |
On weak convergence of iterates in quantum Lp-spaces
(p≥1) |
| title_full_unstemmed |
On weak convergence of iterates in quantum Lp-spaces
(p≥1) |
| title_sort |
on weak convergence of iterates in quantum lp-spaces
(p≥1) |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2005-01-01 |
| description |
Equivalent conditions are obtained for weak convergence of
iterates of positive contractions in the L1-spaces for
general von Neumann algebra and general JBW algebras, as well as
for Segal-Dixmier Lp-spaces (1≤p<∞) affiliated
to semifinite von Neumann algebras and semifinite JBW algebras
without direct summands of type I2. |
| url |
http://dx.doi.org/10.1155/IJMMS.2005.2307 |
| work_keys_str_mv |
AT genadyyagrabarnik onweakconvergenceofiteratesinquantumlpspacesp1 AT alexanderakatz onweakconvergenceofiteratesinquantumlpspacesp1 AT laurashwartz onweakconvergenceofiteratesinquantumlpspacesp1 |
| _version_ |
1716827680560644096 |