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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |