Operator Algebras with Unique Preduals
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 411-421
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We show that every free semigroup algebra has a (strongly) unique Banach space predual. We also provide a new simpler proof that a weak- $*$ closed unital operator algebra containing a weak- $*$ dense subalgebra of compact operators has a unique Banach space predual.
Mots-clés :
47L50, 46B04, 47L35, unique predual, free semigroup algebra, CSL algebra
Davidson, Kenneth R.; Wright, Alex. Operator Algebras with Unique Preduals. Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 411-421. doi: 10.4153/CMB-2011-036-0
@article{10_4153_CMB_2011_036_0,
author = {Davidson, Kenneth R. and Wright, Alex},
title = {Operator {Algebras} with {Unique} {Preduals}},
journal = {Canadian mathematical bulletin},
pages = {411--421},
year = {2011},
volume = {54},
number = {3},
doi = {10.4153/CMB-2011-036-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-036-0/}
}
TY - JOUR AU - Davidson, Kenneth R. AU - Wright, Alex TI - Operator Algebras with Unique Preduals JO - Canadian mathematical bulletin PY - 2011 SP - 411 EP - 421 VL - 54 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-036-0/ DO - 10.4153/CMB-2011-036-0 ID - 10_4153_CMB_2011_036_0 ER -
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